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Popular >

y^{''}+y-5=0

Solution

y^{^{''}} + y - 5 = 0

Solution

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

Solution steps

y^{''} (t) + y - 5 = 0

Solve linear ODE:

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

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

Graph

Popular Examples

2y^{''}+3y^'=-1

2 y^{^{''}} + 3 y^{^{'}} = - 1

y^{''}+5y^'+6y=xe^x

y^{^{''}} + 5 y^{^{'}} + 6 y = x e^{x}

y^{''}-10y^'+21y=205x^2-100x+10

y^{^{''}} - 10 y^{^{'}} + 21 y = 205 x^{2} - 100 x + 10

-x^{''}+x^'=6e^t+2t-2

- x^{^{''}} + x^{^{'}} = 6 e^{t} + 2 t - 2

y^{''}+5y^'+6y=12e^{-5t}+12e^{-t}+24

y^{^{''}} + 5 y^{^{'}} + 6 y = 12 e^{- 5 t} + 12 e^{- t} + 24

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y-5=0 ?
The solution for y^{''}+y-5=0 is y=c_{1}cos(t)+c_{2}sin(t)+5