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Popular >

y^{''}+y/4 =0

Solution

y^{^{''}} + \frac{y}{4} = 0

Solution

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2})

Solution steps

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

Solve linear ODE:

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2})

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2})

Graph

Popular Examples

y^{''}-y^'+144y=0

y^{^{''}} - y^{^{'}} + 144 y = 0

y^{''}+9y=0,y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 0

(d^2y)/(dx^2)-9(dy)/(dx)-22y=0

\frac{d ^{2} y}{d x ^{2}} - 9 \frac{d y}{d x} - 22 y = 0

(d^2y)/(dx^2)(1)-(dy)/(dx)(10)+25y=0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (10) + 25 y = 0

y^{''}+64y=0,y(0)=0,y^'(0)=8

y^{^{''}} + 64 y = 0, y (0) = 0, y^{^{'}} (0) = 8

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y/4 =0 ?
The solution for y^{''}+y/4 =0 is y=c_{1}cos(t/2)+c_{2}sin(t/2)