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Popular >

y^{''}+y=2t

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

1/6 y^{''}+6y=tan(6t)-1/2 e^t

\frac{1}{6} y^{^{''}} + 6 y = tan (6 t) - \frac{1}{2} e^{t}

2y^{''}+3y^'-5y=2cos(x)

2 y^{^{''}} + 3 y^{^{'}} - 5 y = 2 cos (x)

y^{''}-4y=e^{-x}

y^{^{''}} - 4 y = e^{- x}

y^{''}+4y=10x(4-x),y(0)=-5,y(4)=10

y^{^{''}} + 4 y = 10 x (4 - x), y (0) = - 5, y (4) = 10

y^{''}-4y^'+9y=2x-3

y^{^{''}} - 4 y^{^{'}} + 9 y = 2 x - 3

Frequently Asked Questions (FAQ)

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