|
(d^4y)/(dx^4)-2(d^2y)/(dx^2)-8y=0
|
\frac{d^{4}y}{dx^{4}}-2\frac{d^{2}y}{dx^{2}}-8y=0
|
|
3y^{''}+12y=0,y(0)=8,y^'(0)=6
|
3y^{\prime\:\prime\:}+12y=0,y(0)=8,y^{\prime\:}(0)=6
|
|
y^{''}+12y^'+38y=0,y(0)=2,y^'(0)=0
|
y^{\prime\:\prime\:}+12y^{\prime\:}+38y=0,y(0)=2,y^{\prime\:}(0)=0
|
|
y^{''}-6y^'+9y=0,y(0)=4,y^'(0)=-1
|
y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=4,y^{\prime\:}(0)=-1
|
|
y^{''}-r^2y=0
|
y^{\prime\:\prime\:}-r^{2}y=0
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5/32 y^{''}+1/4 y=0
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\frac{5}{32}y^{\prime\:\prime\:}+\frac{1}{4}y=0
|
|
4(d^2y)/(dx^2)-y=0
|
4\frac{d^{2}y}{dx^{2}}-y=0
|
|
y^{''}-6y^'+9y=0,y(0)=2,y^'(0)=7
|
y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=2,y^{\prime\:}(0)=7
|
|
y^{'''}+13y^{''}+43y^'+31y=0
|
y^{\prime\:\prime\:\prime\:}+13y^{\prime\:\prime\:}+43y^{\prime\:}+31y=0
|
|
y^{''}-16y=0,y(0)=1,y^{''}(0)=2
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y^{\prime\:\prime\:}-16y=0,y(0)=1,y^{\prime\:\prime\:}(0)=2
|
|
y^{''''}-3y^{'''}+3y^{''}=0
|
y^{\prime\:\prime\:\prime\:\prime\:}-3y^{\prime\:\prime\:\prime\:}+3y^{\prime\:\prime\:}=0
|
|
u^{''}+29\H(t)=0
|
u^{\prime\:\prime\:}+29\H(t)=0
|
|
y^{''''}-7y^{'''}+18y^{''}-20y^'+8y=0
|
y^{\prime\:\prime\:\prime\:\prime\:}-7y^{\prime\:\prime\:\prime\:}+18y^{\prime\:\prime\:}-20y^{\prime\:}+8y=0
|
|
-y^{''}-2*pi^2y=0
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-y^{\prime\:\prime\:}-2\cdot\:π^{2}y=0
|
|
y^{''}+64y^'+16y=0
|
y^{\prime\:\prime\:}+64y^{\prime\:}+16y=0
|
|
y^{''}-14y^'+49y=0,y(0)=0,y^'(0)=8
|
y^{\prime\:\prime\:}-14y^{\prime\:}+49y=0,y(0)=0,y^{\prime\:}(0)=8
|
|
y^{''}+3y^'-4y=0,y(0)=0,y^'(0)=1
|
y^{\prime\:\prime\:}+3y^{\prime\:}-4y=0,y(0)=0,y^{\prime\:}(0)=1
|
|
2x^{''}+10x=0,x(0)=1,x^'(0)=-2
|
2x^{\prime\:\prime\:}+10x=0,x(0)=1,x^{\prime\:}(0)=-2
|
|
y^{''}+12y^'-25/4 y=0,y(0)=1,y^'(0)=1
|
y^{\prime\:\prime\:}+12y^{\prime\:}-\frac{25}{4}y=0,y(0)=1,y^{\prime\:}(0)=1
|
|
x^{''}+9x=0,x(0)=5,x^'(0)=-11
|
x^{\prime\:\prime\:}+9x=0,x(0)=5,x^{\prime\:}(0)=-11
|
|
y^{''''}+5y^{'''}-2y^{''}-3y^'+1/2 y=0
|
y^{\prime\:\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:\prime\:}-2y^{\prime\:\prime\:}-3y^{\prime\:}+\frac{1}{2}y=0
|
|
(2d^5-7d^4+12d^3+8d^2)y=0
|
(2d^{5}-7d^{4}+12d^{3}+8d^{2})y=0
|
|
linear y^{''}+y^'-2y=0
|
linear\:y^{\prime\:\prime\:}+y^{\prime\:}-2y=0
|
|
y^{''}+2y^'+y=0,y(0)=-1,y^'(0)=-3
|
y^{\prime\:\prime\:}+2y^{\prime\:}+y=0,y(0)=-1,y^{\prime\:}(0)=-3
|
|
y^{''}-5y^'+4y=0,y(0)= 4/3 ,y^'(0)= 1/3
|
y^{\prime\:\prime\:}-5y^{\prime\:}+4y=0,y(0)=\frac{4}{3},y^{\prime\:}(0)=\frac{1}{3}
|
|
y^{''}=-64y
|
y^{\prime\:\prime\:}=-64y
|
|
y^{''}-30y^'+325y=0
|
y^{\prime\:\prime\:}-30y^{\prime\:}+325y=0
|
|
-y^{''}+ay^'+by=0
|
-y^{\prime\:\prime\:}+ay^{\prime\:}+by=0
|
|
f^{''}(x)+4a^2f(x)=0
|
f^{\prime\:\prime\:}(x)+4a^{2}f(x)=0
|
|
y^{''}-5y^'+10y=0
|
y^{\prime\:\prime\:}-5y^{\prime\:}+10y=0
|
|
y^{''}+36y=0,y^'(0)=2
|
y^{\prime\:\prime\:}+36y=0,y^{\prime\:}(0)=2
|
|
(d^3y)/(dx^3)+y=0
|
\frac{d^{3}y}{dx^{3}}+y=0
|
|
y^{''}-y=0,y(0)=2,y^'(0)=0,y^{''}(0)=1
|
y^{\prime\:\prime\:}-y=0,y(0)=2,y^{\prime\:}(0)=0,y^{\prime\:\prime\:}(0)=1
|
|
y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=5
|
y^{\prime\:\prime\:}-4y^{\prime\:}-3y=0,y(0)=1,y^{\prime\:}(0)=5
|
|
15/16 u^{''}+128\H(t)=0
|
\frac{15}{16}u^{\prime\:\prime\:}+128\H(t)=0
|
|
y^{'''}-4y^{''}+y^'-4y=0
|
y^{\prime\:\prime\:\prime\:}-4y^{\prime\:\prime\:}+y^{\prime\:}-4y=0
|
|
y^{'''}-9y^{''}+108y=0
|
y^{\prime\:\prime\:\prime\:}-9y^{\prime\:\prime\:}+108y=0
|
|
y^{''}+y^'+56y=0
|
y^{\prime\:\prime\:}+y^{\prime\:}+56y=0
|
|
y^{''}-4y^'+4y=0,y(0)=5,y^'(0)= 53/5
|
y^{\prime\:\prime\:}-4y^{\prime\:}+4y=0,y(0)=5,y^{\prime\:}(0)=\frac{53}{5}
|
|
y^{''}-3y^'+2y=0,y(0)= 3/5 ,y^'(0)=-1/5
|
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=0,y(0)=\frac{3}{5},y^{\prime\:}(0)=-\frac{1}{5}
|
|
(d^4y)/(dx^4)+8(d^2y)/(dx^2)+6y=0
|
\frac{d^{4}y}{dx^{4}}+8\frac{d^{2}y}{dx^{2}}+6y=0
|
|
(D^4-D^2)y=0
|
(D^{4}-D^{2})y=0
|
|
1/2 x^{''}+3x^'+4x=0,x(0)=3,x^'(0)=0
|
\frac{1}{2}x^{\prime\:\prime\:}+3x^{\prime\:}+4x=0,x(0)=3,x^{\prime\:}(0)=0
|
|
y^{'''}-7y^{''}+10y=0,y(0)=7
|
y^{\prime\:\prime\:\prime\:}-7y^{\prime\:\prime\:}+10y=0,y(0)=7
|
|
y^{''}+y^'+y=0,y(0)=1,y^'(0)=1
|
y^{\prime\:\prime\:}+y^{\prime\:}+y=0,y(0)=1,y^{\prime\:}(0)=1
|
|
linear y^{''}-y^'=0,y(0)=cos(x)
|
linear\:y^{\prime\:\prime\:}-y^{\prime\:}=0,y(0)=\cos(x)
|
|
y^{''}-y^'-2y=0,y(0)=-2,y^'(0)=2
|
y^{\prime\:\prime\:}-y^{\prime\:}-2y=0,y(0)=-2,y^{\prime\:}(0)=2
|
|
y^{''}-13y^'-40y=0
|
y^{\prime\:\prime\:}-13y^{\prime\:}-40y=0
|
|
9y^{''}-12y^'+4y=0,y(0)=2,y(0)=3
|
9y^{\prime\:\prime\:}-12y^{\prime\:}+4y=0,y(0)=2,y(0)=3
|
|
x^{''}=-2x^'
|
x^{\prime\:\prime\:}=-2x^{\prime\:}
|
|
y^{''}-4y^'+3y=0,y(1)x=e^{3x}
|
y^{\prime\:\prime\:}-4y^{\prime\:}+3y=0,y(1)x=e^{3x}
|
|
y^{''}+10y^'+25y=0,y(-1)=6,y^'(-1)=5
|
y^{\prime\:\prime\:}+10y^{\prime\:}+25y=0,y(-1)=6,y^{\prime\:}(-1)=5
|
|
y^{''}+10y^'+25y=0,y(-1)=6,y^'(-1)=4
|
y^{\prime\:\prime\:}+10y^{\prime\:}+25y=0,y(-1)=6,y^{\prime\:}(-1)=4
|
|
y^{''}+y^'-2y=0,y^'(0)=1
|
y^{\prime\:\prime\:}+y^{\prime\:}-2y=0,y^{\prime\:}(0)=1
|
|
(d^4y)/(dx^4)-a(d^2y)/(dx^2)-by=0
|
\frac{d^{4}y}{dx^{4}}-a\frac{d^{2}y}{dx^{2}}-by=0
|
|
x^{''}+2x^'+0.75x=0
|
x^{\prime\:\prime\:}+2x^{\prime\:}+0.75x=0
|
|
y^{''}=7y^'-12y,y(0)=0,y^'(0)=-1
|
y^{\prime\:\prime\:}=7y^{\prime\:}-12y,y(0)=0,y^{\prime\:}(0)=-1
|
|
u^{''}+5\H(t)=0
|
u^{\prime\:\prime\:}+5\H(t)=0
|
|
y^{''}-10y^'+2y=0,y(0)=0
|
y^{\prime\:\prime\:}-10y^{\prime\:}+2y=0,y(0)=0
|
|
(d^4y)/(dx^4)-2y^{''}+1y=0
|
\frac{d^{4}y}{dx^{4}}-2y^{\prime\:\prime\:}+1y=0
|
|
u^{''}+\H(t)=0
|
u^{\prime\:\prime\:}+\H(t)=0
|
|
y^{'''}-y^{''}-y^{''}+y=0
|
y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}-y^{\prime\:\prime\:}+y=0
|
|
y^{''}-10y^'+25y=0,y(0)=0,y^'(0)=5
|
y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0,y(0)=0,y^{\prime\:}(0)=5
|
|
y^{''}-10y^'+25y=0,y(0)=0,y^'(0)=8
|
y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0,y(0)=0,y^{\prime\:}(0)=8
|
|
y^{''}+32y^'+192y=0,y(0)= 1/6 ,y^'(0)=2
|
y^{\prime\:\prime\:}+32y^{\prime\:}+192y=0,y(0)=\frac{1}{6},y^{\prime\:}(0)=2
|
|
y^{''}+15y^'+50y=0,y(0)=12,y^'(0)=-100
|
y^{\prime\:\prime\:}+15y^{\prime\:}+50y=0,y(0)=12,y^{\prime\:}(0)=-100
|
|
y^{'''''}+4y^{'''}+4y^'=0
|
y^{\prime\:\prime\:\prime\:\prime\:\prime\:}+4y^{\prime\:\prime\:\prime\:}+4y^{\prime\:}=0
|
|
y^{''}+15y^'+50y=0,y(0)=12,y^'(0)=-105
|
y^{\prime\:\prime\:}+15y^{\prime\:}+50y=0,y(0)=12,y^{\prime\:}(0)=-105
|
|
x^{''}+x^'+0.25x=0,x(0)=2,x^'(0)= 1/3
|
x^{\prime\:\prime\:}+x^{\prime\:}+0.25x=0,x(0)=2,x^{\prime\:}(0)=\frac{1}{3}
|
|
y^{''}+9y=0,y(pi/6)=1,y(0)=-1
|
y^{\prime\:\prime\:}+9y=0,y(\frac{π}{6})=1,y(0)=-1
|
|
y^{''}+y^'-5y=0
|
y^{\prime\:\prime\:}+y^{\prime\:}-5y=0
|
|
(y^{''}-7y) 1/9 =0
|
(y^{\prime\:\prime\:}-7y)\frac{1}{9}=0
|
|
2y^{''}+10y^'+18y=0
|
2y^{\prime\:\prime\:}+10y^{\prime\:}+18y=0
|
|
150y^{'''}+25y^{''}+y^'=0
|
150y^{\prime\:\prime\:\prime\:}+25y^{\prime\:\prime\:}+y^{\prime\:}=0
|
|
y^{''}+y/4 =0,y(0)=0
|
y^{\prime\:\prime\:}+\frac{y}{4}=0,y(0)=0
|
|
y^{''}+6y^'+9y=0,y(0)=-5,y^'(0)=14
|
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=0,y(0)=-5,y^{\prime\:}(0)=14
|
|
y^{''}=y,y(0)=0,y^'(1)=1
|
y^{\prime\:\prime\:}=y,y(0)=0,y^{\prime\:}(1)=1
|
|
(d^2y)/(dt^2)-11(dy)/(dt)+10y=0
|
\frac{d^{2}y}{dt^{2}}-11\frac{dy}{dt}+10y=0
|
|
y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21
|
y^{\prime\:\prime\:}-y^{\prime\:}-30y=0,y(0)=-2,y^{\prime\:}(0)=21
|
|
y^{''}+6y^'+9y=0,y(0)=-4,y^'(0)=15
|
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=0,y(0)=-4,y^{\prime\:}(0)=15
|
|
9y^{''}+8y^'-7y=0
|
9y^{\prime\:\prime\:}+8y^{\prime\:}-7y=0
|
|
y^{''''}-3y^{'''}-6y^{''}+28y^'-24y=0
|
y^{\prime\:\prime\:\prime\:\prime\:}-3y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}+28y^{\prime\:}-24y=0
|
|
5y^{''}+20y^'+10y=0
|
5y^{\prime\:\prime\:}+20y^{\prime\:}+10y=0
|
|
linear y^{''}+(216/7)y=0
|
linear\:y^{\prime\:\prime\:}+(\frac{216}{7})y=0
|
|
(D^5-5D^4+7D^3+D^2-8D+4)y=0
|
(D^{5}-5D^{4}+7D^{3}+D^{2}-8D+4)y=0
|
|
y^{''}-7y+12y=0
|
y^{\prime\:\prime\:}-7y+12y=0
|
|
(y^{''}+2y^'+5y)=0
|
(y^{\prime\:\prime\:}+2y^{\prime\:}+5y)=0
|
|
y^{''}-2y^'+5y=0,y(0)=2,y^'(0)=-2
|
y^{\prime\:\prime\:}-2y^{\prime\:}+5y=0,y(0)=2,y^{\prime\:}(0)=-2
|
|
y^{''}+y^'-6y=0,y(0)=α,y^'(0)=5
|
y^{\prime\:\prime\:}+y^{\prime\:}-6y=0,y(0)=α,y^{\prime\:}(0)=5
|
|
49x^{''}+140x^'+100x=0
|
49x^{\prime\:\prime\:}+140x^{\prime\:}+100x=0
|
|
35y^{''}+23y^'-6y=0
|
35y^{\prime\:\prime\:}+23y^{\prime\:}-6y=0
|
|
y^{''}+25y=10y
|
y^{\prime\:\prime\:}+25y=10y
|
|
y^{''}-2y^'+2y=0,y(pi)=6,y(0)=6
|
y^{\prime\:\prime\:}-2y^{\prime\:}+2y=0,y(π)=6,y(0)=6
|
|
y^{''}+9y=0,y(0)=0,y(1)=0
|
y^{\prime\:\prime\:}+9y=0,y(0)=0,y(1)=0
|
|
x^{''}+4.9*x=0,x(0)=0.087,x^'(0)=0
|
x^{\prime\:\prime\:}+4.9\cdot\:x=0,x(0)=0.087,x^{\prime\:}(0)=0
|
|
x^{''}-2x^'+x=0,x(0)=0,x^'(0)=1
|
x^{\prime\:\prime\:}-2x^{\prime\:}+x=0,x(0)=0,x^{\prime\:}(0)=1
|
|
y^{''}-2y^'+5y=0,y(0)=1,y^'(0)=-3
|
y^{\prime\:\prime\:}-2y^{\prime\:}+5y=0,y(0)=1,y^{\prime\:}(0)=-3
|
|
1/8 y^{''}+4y^'+12y=0,y(0)=0,y^'(0)=4
|
\frac{1}{8}y^{\prime\:\prime\:}+4y^{\prime\:}+12y=0,y(0)=0,y^{\prime\:}(0)=4
|
|
(D^6+D^5-D^4-D^3)y=0
|
(D^{6}+D^{5}-D^{4}-D^{3})y=0
|
|
y^{''}-2y^'+2y=0,y(0)=1,y^'(0)=1
|
y^{\prime\:\prime\:}-2y^{\prime\:}+2y=0,y(0)=1,y^{\prime\:}(0)=1
|
