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Popular >

y^{''}+y=5

Solution

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

Solution

y = c_{1} cos (t) + c_{2} sin (t) + 5

Solution steps

y^{''} (t) + y = 5

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + 5

y = c_{1} cos (t) + c_{2} sin (t) + 5

Popular Examples

y^{^{''}} + y = 8

y^{''}+2y^'+3y=6x+1

y^{^{''}} + 2 y^{^{'}} + 3 y = 6 x + 1

y^{''}+2y=4^3+5x^2-x+7

y^{^{''}} + 2 y = 4^{3} + 5 x^{2} - x + 7

y^{''}+4y^'+6y=1+e^{-x},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1 + e^{- x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2/5 y^'-2/25 y=4e^t

y^{^{''}} - \frac{2}{5} y^{^{'}} - \frac{2}{25} y = 4 e^{t}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y=5 ?
The solution for y^{''}+y=5 is y=c_{1}cos(t)+c_{2}sin(t)+5