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Popular >

y^{''}+y=x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

tangent of f(x)=3x^2+3x,\at x=-2 tangent of

f (x) = 3 x^{2} + 3 x, at x = - 2

integral of |5x|

\int ∣ 5 x ∣ d x

derivative of f(x)=(53)/(0.01x^2+1)derivative of

f (x) = \frac{53}{0.01 x ^{2} + 1}

integral of (e^{-4x})/(x^2)

\int \frac{e ^{- 4 x}}{x ^{2}} d x

area y=-x^3+3,y=x,x=-1,x=1 area

y = - x^{3} + 3, y = x, x = - 1, x = 1

Frequently Asked Questions (FAQ)

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