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Popular >

y^{''}+y=2+t

Solution

y^{^{''}} + y = 2 + t

Solution

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

Solution steps

y^{''} (t) + y = 2 + t

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}+8y^'+2y=cos(x)

y^{^{''}} + 8 y^{^{'}} + 2 y = cos (x)

y^{''}-2y^'+5y=8sin(x)-4cos(x)

y^{^{''}} - 2 y^{^{'}} + 5 y = 8 sin (x) - 4 cos (x)

y^{''}+9y=sin^4(x)

y^{^{''}} + 9 y = sin^{4} (x)

(d^2x)/(dt^2)+4(dx)/(dt)+4x=7-2t^2

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 4 x = 7 - 2 t^{2}

y^{''}+4y=sin(3t)

y^{^{''}} + 4 y = sin (3 t)

Frequently Asked Questions (FAQ)

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