|
5y^{''}-7y^'+2y=0,y(0)=1,y^'(0)=-0.8y
|
5y^{\prime\:\prime\:}-7y^{\prime\:}+2y=0,y(0)=1,y^{\prime\:}(0)=-0.8y
|
|
(D^3-D^2-8D+12)y=0
|
(D^{3}-D^{2}-8D+12)y=0
|
|
2y^{''}-5y^'-7y=0,y^'(0)=3,y(0)=4
|
2y^{\prime\:\prime\:}-5y^{\prime\:}-7y=0,y^{\prime\:}(0)=3,y(0)=4
|
|
f^{''}(t)+f^'(t)+1/16 f(t)=0
|
f^{\prime\:\prime\:}(t)+f^{\prime\:}(t)+\frac{1}{16}f(t)=0
|
|
6y^{''}+35y=0,y(0)=9,y^'(0)=8
|
6y^{\prime\:\prime\:}+35y=0,y(0)=9,y^{\prime\:}(0)=8
|
|
y^{''}-y^'-12y=0,y(1)=0,y^'(1)=0
|
y^{\prime\:\prime\:}-y^{\prime\:}-12y=0,y(1)=0,y^{\prime\:}(1)=0
|
|
64y^{''}+729y=0,y(0)=8,y^'(0)=3
|
64y^{\prime\:\prime\:}+729y=0,y(0)=8,y^{\prime\:}(0)=3
|
|
y^{'''}+4y^{''}-32y^'=0
|
y^{\prime\:\prime\:\prime\:}+4y^{\prime\:\prime\:}-32y^{\prime\:}=0
|
|
y^{'''}+y^{''}-4y^'+2y=0
|
y^{\prime\:\prime\:\prime\:}+y^{\prime\:\prime\:}-4y^{\prime\:}+2y=0
|
|
0.25(d^2x)/(dt^2)+0.1(dx)/(dt)+x=0
|
0.25\frac{d^{2}x}{dt^{2}}+0.1\frac{dx}{dt}+x=0
|
|
(d^2x)/(dt^2)+9.8x=0
|
\frac{d^{2}x}{dt^{2}}+9.8x=0
|
|
y^{''}+0.75y=0
|
y^{\prime\:\prime\:}+0.75y=0
|
|
3/2 y^{''}+3y^'+15y=0
|
\frac{3}{2}y^{\prime\:\prime\:}+3y^{\prime\:}+15y=0
|
|
y^{''}-2y^'+y=0,y(0)=-1,y(1)=2
|
y^{\prime\:\prime\:}-2y^{\prime\:}+y=0,y(0)=-1,y(1)=2
|
|
(d^2y)/(dx^2)-2y=0
|
\frac{d^{2}y}{dx^{2}}-2y=0
|
|
(D^5-D^3)y=0
|
(D^{5}-D^{3})y=0
|
|
y^{''}-4y^'+4y=0,y(0)=0,y^'(0)=4
|
y^{\prime\:\prime\:}-4y^{\prime\:}+4y=0,y(0)=0,y^{\prime\:}(0)=4
|
|
y^{''}-9y^'+20y=0,y(0)=3,y^'(0)=2
|
y^{\prime\:\prime\:}-9y^{\prime\:}+20y=0,y(0)=3,y^{\prime\:}(0)=2
|
|
y^{''}+1/100 y^'=0
|
y^{\prime\:\prime\:}+\frac{1}{100}y^{\prime\:}=0
|
|
x^{''}-7x^'+12=12,x(0)=5,x^'(0)=5
|
x^{\prime\:\prime\:}-7x^{\prime\:}+12=12,x(0)=5,x^{\prime\:}(0)=5
|
|
y^{''}-4y=0,y(0)=2,y^'(0)=4
|
y^{\prime\:\prime\:}-4y=0,y(0)=2,y^{\prime\:}(0)=4
|
|
y^{'''}+12y^'+36y^'=0
|
y^{\prime\:\prime\:\prime\:}+12y^{\prime\:}+36y^{\prime\:}=0
|
|
y^{''}+0y^'+9y=0
|
y^{\prime\:\prime\:}+0y^{\prime\:}+9y=0
|
|
y^{''}+ay=0,y(0)=0,y(5)=0
|
y^{\prime\:\prime\:}+ay=0,y(0)=0,y(5)=0
|
|
linear y^{''}+2y^'+5y=0,y(0)=1,y^'(0)=1
|
linear\:y^{\prime\:\prime\:}+2y^{\prime\:}+5y=0,y(0)=1,y^{\prime\:}(0)=1
|
|
y^{''}-18y^'+162y=0
|
y^{\prime\:\prime\:}-18y^{\prime\:}+162y=0
|
|
(d^2y)/(dx^2)-8(dy)/(dx)+17y=0
|
\frac{d^{2}y}{dx^{2}}-8\frac{dy}{dx}+17y=0
|
|
x^{'''}+9x^{''}+15x^'-25x=0
|
x^{\prime\:\prime\:\prime\:}+9x^{\prime\:\prime\:}+15x^{\prime\:}-25x=0
|
|
2y^{''}-y^'-2y=0
|
2y^{\prime\:\prime\:}-y^{\prime\:}-2y=0
|
|
ay^{''}+by^'+cy=0,y(0)=0
|
ay^{\prime\:\prime\:}+by^{\prime\:}+cy=0,y(0)=0
|
|
y^{''}-10y^'+41y=0,y(0)=10,y^'(0)=7
|
y^{\prime\:\prime\:}-10y^{\prime\:}+41y=0,y(0)=10,y^{\prime\:}(0)=7
|
|
(d^3+6d^2+11d+6)y=0
|
(d^{3}+6d^{2}+11d+6)y=0
|
|
y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=-3
|
y^{\prime\:\prime\:}+3y^{\prime\:}-10y=0,y(0)=1,y^{\prime\:}(0)=-3
|
|
y^{''}+10y^'+36y=0,y(0)=1,y^'(0)=0
|
y^{\prime\:\prime\:}+10y^{\prime\:}+36y=0,y(0)=1,y^{\prime\:}(0)=0
|
|
y^{''}+2y^'-8y=0,y(0)=-5,y^'(0)=26
|
y^{\prime\:\prime\:}+2y^{\prime\:}-8y=0,y(0)=-5,y^{\prime\:}(0)=26
|
|
(d^5-6d^4+9d^3)y=0
|
(d^{5}-6d^{4}+9d^{3})y=0
|
|
y^{''}-2y^'+2y=0,y(0)=0,y^'(0)=7
|
y^{\prime\:\prime\:}-2y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=7
|
|
y^{'''''}-2y^{''''}+y^{'''}=0
|
y^{\prime\:\prime\:\prime\:\prime\:\prime\:}-2y^{\prime\:\prime\:\prime\:\prime\:}+y^{\prime\:\prime\:\prime\:}=0
|
|
100y^{''}+80y^'+65y=0
|
100y^{\prime\:\prime\:}+80y^{\prime\:}+65y=0
|
|
y^{''}+y=y^'
|
y^{\prime\:\prime\:}+y=y^{\prime\:}
|
|
y^{''}+y=0,y^'(pi/2)=0,y(0)=0
|
y^{\prime\:\prime\:}+y=0,y^{\prime\:}(\frac{π}{2})=0,y(0)=0
|
|
(d^2y)/(dx^2)-6(dy)/(dx)+9y=0,y(0)=0
|
\frac{d^{2}y}{dx^{2}}-6\frac{dy}{dx}+9y=0,y(0)=0
|
|
y^{''}-6y^'+12y=0,y(0)=0,y^'(0)=-7
|
y^{\prime\:\prime\:}-6y^{\prime\:}+12y=0,y(0)=0,y^{\prime\:}(0)=-7
|
|
8y^{''}+y^'-y=0
|
8y^{\prime\:\prime\:}+y^{\prime\:}-y=0
|
|
y^{''}+3y^'=0,y(0)=-2,y^'(0)=-3
|
y^{\prime\:\prime\:}+3y^{\prime\:}=0,y(0)=-2,y^{\prime\:}(0)=-3
|
|
y^{''}+y=0,y(0)=-1
|
y^{\prime\:\prime\:}+y=0,y(0)=-1
|
|
y^{''}+64y=0,y(pi)=0,y(0)=0
|
y^{\prime\:\prime\:}+64y=0,y(π)=0,y(0)=0
|
|
(\frac{d^2f)/(dx^2)}{f(x)}=a^2
|
\frac{\frac{d^{2}f}{dx^{2}}}{f(x)}=a^{2}
|
|
2y^{''}+10y^'-12y=0
|
2y^{\prime\:\prime\:}+10y^{\prime\:}-12y=0
|
|
4y^{'''}-11y^{''}-19y^'-4y=0
|
4y^{\prime\:\prime\:\prime\:}-11y^{\prime\:\prime\:}-19y^{\prime\:}-4y=0
|
|
y^{''}-3y^'=0,y(0)=7-7e^3,y(1)=0
|
y^{\prime\:\prime\:}-3y^{\prime\:}=0,y(0)=7-7e^{3},y(1)=0
|
|
y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=30
|
y^{\prime\:\prime\:}+3y^{\prime\:}-10y=0,y(0)=1,y^{\prime\:}(0)=30
|
|
y^{''}-20y^'+101y=0,y(0)=8,y^'(0)=1
|
y^{\prime\:\prime\:}-20y^{\prime\:}+101y=0,y(0)=8,y^{\prime\:}(0)=1
|
|
r^2y^{''}+ry^'-n^2y=0
|
r^{2}y^{\prime\:\prime\:}+ry^{\prime\:}-n^{2}y=0
|
|
1/4 y^{''}+7/4 y^'+5/2 y=0
|
\frac{1}{4}y^{\prime\:\prime\:}+\frac{7}{4}y^{\prime\:}+\frac{5}{2}y=0
|
|
y^{''}-8y^'+16y=0,y(0)=0,y^'(0)=3
|
y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=0,y^{\prime\:}(0)=3
|
|
y^{''}-8y^'+16y=0,y(0)=0,y^'(0)=8
|
y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=0,y^{\prime\:}(0)=8
|
|
(d^2y)/(dx^2)+9(dy)/(dx)+9y=0
|
\frac{d^{2}y}{dx^{2}}+9\frac{dy}{dx}+9y=0
|
|
(d^2x)/(dt^2)+16*x=0
|
\frac{d^{2}x}{dt^{2}}+16\cdot\:x=0
|
|
y^{''}-2y^'-8y=0,y(0)=a,y^'(0)=5
|
y^{\prime\:\prime\:}-2y^{\prime\:}-8y=0,y(0)=a,y^{\prime\:}(0)=5
|
|
x^{''}+4x^'+29x=0
|
x^{\prime\:\prime\:}+4x^{\prime\:}+29x=0
|
|
y^{'''}+2y^{''}-6y^'-72y=0,y(0)=e^{4x}
|
y^{\prime\:\prime\:\prime\:}+2y^{\prime\:\prime\:}-6y^{\prime\:}-72y=0,y(0)=e^{4x}
|
|
y^{''}+6y^'+9y=0,y(-1)=2,y^'(-1)=2
|
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=0,y(-1)=2,y^{\prime\:}(-1)=2
|
|
y^{''''}+4y^{'''}-3y^{''}-y^'+1/2 y=0
|
y^{\prime\:\prime\:\prime\:\prime\:}+4y^{\prime\:\prime\:\prime\:}-3y^{\prime\:\prime\:}-y^{\prime\:}+\frac{1}{2}y=0
|
|
y^{''}-6y^'+9y=0,y(0)=2,y^'(0)= 33/4
|
y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=2,y^{\prime\:}(0)=\frac{33}{4}
|
|
81y^{''}=-16y
|
81y^{\prime\:\prime\:}=-16y
|
|
y^{''}+(0)y^'+36y=0,y(0)=3,y^'(0)=0
|
y^{\prime\:\prime\:}+(0)y^{\prime\:}+36y=0,y(0)=3,y^{\prime\:}(0)=0
|
|
y^{''}-14y^'+74y=0,y(pi/(10))=1,y(0)=3
|
y^{\prime\:\prime\:}-14y^{\prime\:}+74y=0,y(\frac{π}{10})=1,y(0)=3
|
|
y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=9
|
y^{\prime\:\prime\:}+3y^{\prime\:}-10y=0,y(0)=1,y^{\prime\:}(0)=9
|
|
y^{''}-2y^'-3y=0,y(0)=1,y^'(0)=1
|
y^{\prime\:\prime\:}-2y^{\prime\:}-3y=0,y(0)=1,y^{\prime\:}(0)=1
|
|
y^{''}-2y^'-3y=0,y(0)=1,y^'(0)=0
|
y^{\prime\:\prime\:}-2y^{\prime\:}-3y=0,y(0)=1,y^{\prime\:}(0)=0
|
|
(D^2-3D-10)y=0
|
(D^{2}-3D-10)y=0
|
|
y^{''''}+k^2*y^{''}=0
|
y^{\prime\:\prime\:\prime\:\prime\:}+k^{2}\cdot\:y^{\prime\:\prime\:}=0
|
|
y^{''}+6y^'+9y=0,y(-1)=6,y^'(-1)=5
|
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=0,y(-1)=6,y^{\prime\:}(-1)=5
|
|
y^{''}-a*y^'-b*y=0
|
y^{\prime\:\prime\:}-a\cdot\:y^{\prime\:}-b\cdot\:y=0
|
|
9y^{''}-12y^'+29y=0,y(0)=1,y^'(1)=3
|
9y^{\prime\:\prime\:}-12y^{\prime\:}+29y=0,y(0)=1,y^{\prime\:}(1)=3
|
|
y^{''}+8y^'+24y=0
|
y^{\prime\:\prime\:}+8y^{\prime\:}+24y=0
|
|
y^{'''}-9y^{''}+25y^'-17y=0
|
y^{\prime\:\prime\:\prime\:}-9y^{\prime\:\prime\:}+25y^{\prime\:}-17y=0
|
|
y^{'''}-6y^{''}+5y+12y=0
|
y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}+5y+12y=0
|
|
10x^{''}+25x^'=0
|
10x^{\prime\:\prime\:}+25x^{\prime\:}=0
|
|
x^{''}+8x^'+11x=0,x(0)=0,x^'(0)=3
|
x^{\prime\:\prime\:}+8x^{\prime\:}+11x=0,x(0)=0,x^{\prime\:}(0)=3
|
|
y^{''}-8y^{''}-9y=0
|
y^{\prime\:\prime\:}-8y^{\prime\:\prime\:}-9y=0
|
|
y^{''}+3y^'+2y=0,y(0)= 1/4
|
y^{\prime\:\prime\:}+3y^{\prime\:}+2y=0,y(0)=\frac{1}{4}
|
|
y^{''}+(3-a)y^'+2(a-1)y=0
|
y^{\prime\:\prime\:}+(3-a)y^{\prime\:}+2(a-1)y=0
|
|
(d^2y)/(dx^2)-12(dy)/(dx)-64y=0
|
\frac{d^{2}y}{dx^{2}}-12\frac{dy}{dx}-64y=0
|
|
10/32 y^{''}+1/6 y=0,y(0)= 1/6 ,y^'(0)=-1
|
\frac{10}{32}y^{\prime\:\prime\:}+\frac{1}{6}y=0,y(0)=\frac{1}{6},y^{\prime\:}(0)=-1
|
|
10000y^{''}-729y=0,y(0)=9
|
10000y^{\prime\:\prime\:}-729y=0,y(0)=9
|
|
y^{''}+16y=0,y(pi^8)=-4,y^'(pi^8)=-8
|
y^{\prime\:\prime\:}+16y=0,y(π^{8})=-4,y^{\prime\:}(π^{8})=-8
|
|
y^{''}=-y,y(0)=0
|
y^{\prime\:\prime\:}=-y,y(0)=0
|
|
y^{''}=13*y
|
y^{\prime\:\prime\:}=13\cdot\:y
|
|
y^{''}+2y^'+1y=0,y(0)=6,y^'(0)=-1
|
y^{\prime\:\prime\:}+2y^{\prime\:}+1y=0,y(0)=6,y^{\prime\:}(0)=-1
|
|
y^{''}-y^'-46y^'-80y=0
|
y^{\prime\:\prime\:}-y^{\prime\:}-46y^{\prime\:}-80y=0
|
|
y^'+4y^{''}-5y^'=0
|
y^{\prime\:}+4y^{\prime\:\prime\:}-5y^{\prime\:}=0
|
|
linear (d^2y)/(dx^2)+y=0
|
linear\:\frac{d^{2}y}{dx^{2}}+y=0
|
|
y^{''}-21y^'+110y=0
|
y^{\prime\:\prime\:}-21y^{\prime\:}+110y=0
|
|
y^{''}+8y^'+25y=0,y(0)=2,y(0)=-7
|
y^{\prime\:\prime\:}+8y^{\prime\:}+25y=0,y(0)=2,y(0)=-7
|
|
2(d^2y)/(dx^2)-(dy)/(dx)-6y=0
|
2\frac{d^{2}y}{dx^{2}}-\frac{dy}{dx}-6y=0
|
|
y^{'''}=-y
|
y^{\prime\:\prime\:\prime\:}=-y
|
|
y^{''}+0y+64y=0,y(0)=1,y^'(0)=0
|
y^{\prime\:\prime\:}+0y+64y=0,y(0)=1,y^{\prime\:}(0)=0
|
|
(d^2y)/(dx^2)-8(dy)/(dx)=0
|
\frac{d^{2}y}{dx^{2}}-8\frac{dy}{dx}=0
|
