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Popular >

y^{''}+y=4x

Solution

y^{^{''}} + y = 4 x

Solution

y = c_{1} cos (x) + c_{2} sin (x) + 4 x

Solution steps

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 4 x

y = c_{1} cos (x) + c_{2} sin (x) + 4 x

Popular Examples

2y^{''}+6y^'+1=95

2 y^{^{''}} + 6 y^{^{'}} + 1 = 95

x^{''}+2x^'+41x=11cos(6t)

x^{^{''}} + 2 x^{^{'}} + 41 x = 11 cos (6 t)

linear y^{''}+3y=9 linear

y^{^{''}} + 3 y = 9

y^{''}+y^'=sin(x)+cos(x)

y^{^{''}} + y^{^{'}} = sin (x) + cos (x)

y^{'''}+y^{''}+4y^'+4y=4x+4

y^{^{'''}} + y^{^{''}} + 4 y^{^{'}} + 4 y = 4 x + 4

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y=4x ?
The solution for y^{''}+y=4x is y=c_{1}cos(x)+c_{2}sin(x)+4x