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Popular >

y^{''}+x+y=0

Solution

y^{^{''}} + x + y = 0

Solution

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

Solution steps

y^{''} (x) + x + y = 0

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}+y=1,y(0)=0,y(1)=0

y^{^{''}} + y = 1, y (0) = 0, y (1) = 0

y^{''}+12y^'+27y=64e^{-1t}

y^{^{''}} + 12 y^{^{'}} + 27 y = 64 e^{- 1 t}

y^{''}+4y=4*sec^2(2t)

y^{^{''}} + 4 y = 4 \cdot sec^{2} (2 t)

2y^{''}-6y^'=5,y(0)=2,y^'(0)=1

2 y^{^{''}} - 6 y^{^{'}} = 5, y (0) = 2, y^{^{'}} (0) = 1

y^{''}+y=1,y(0)=1,y^'(0)=1

y^{^{''}} + y = 1, y (0) = 1, y^{^{'}} (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+x+y=0 ?
The solution for y^{''}+x+y=0 is y=c_{1}cos(x)+c_{2}sin(x)-x