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Popular >

y^{''}+y/4 =0,y(0)=0

Solution

y^{^{''}} + \frac{y}{4} = 0, y (0) = 0

Solution

y = c_{2} sin (\frac{t}{2})

Solution steps

y^{''} (t) + \frac{y}{4} = 0

Solve linear ODE:

y = c_{2} sin (\frac{t}{2})

y = c_{2} sin (\frac{t}{2})

Graph

Popular Examples

y^{''}+6y^'+9y=0,y(0)=-5,y^'(0)=14

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = - 5, y^{^{'}} (0) = 14

y^{''}=y,y(0)=0,y^'(1)=1

y^{^{''}} = y, y (0) = 0, y^{^{'}} (1) = 1

(d^2y)/(dt^2)-11(dy)/(dt)+10y=0

\frac{d ^{2} y}{d t ^{2}} - 11 \frac{d y}{d t} + 10 y = 0

y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21

y^{^{''}} - y^{^{'}} - 30 y = 0, y (0) = - 2, y^{^{'}} (0) = 21

y^{''}+6y^'+9y=0,y(0)=-4,y^'(0)=15

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = - 4, y^{^{'}} (0) = 15

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y/4 =0,y(0)=0 ?
The solution for y^{''}+y/4 =0,y(0)=0 is y=c_{2}sin(t/2)