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Popular >

y^{''}+y=c

Solution

y^{^{''}} + y = c

Solution

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

Solution steps

y^{''} (t) + y = c

Solve linear ODE:

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

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

Graph

Popular Examples

(d^2y)/(dx^2)-6(dy)/(dx)+8y=8e^{4x}

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 8 y = 8 e^{4 x}

(d^2y)/(dx^2)+2(dy)/(dx)=x

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} = x

y^{''}+16y=3csc^2(4x)

y^{^{''}} + 16 y = 3 csc^{2} (4 x)

y^{''}-4y^'+3y=(x^2-3x)e^{-x}

y^{^{''}} - 4 y^{^{'}} + 3 y = (x^{2} - 3 x) e^{- x}

y^{^{''}} + y = 5

Frequently Asked Questions (FAQ)

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