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Popular Calculus >

(d^2+1)y=x^3

Solution

(d^{2} + 1) y = x^{3}

Solution

y = c_{1} cos (x) + c_{2} sin (x) + x^{3} - 6 x

Solution steps

(d^{2} + 1) y = x^{3}

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x^{3} - 6 x

y = c_{1} cos (x) + c_{2} sin (x) + x^{3} - 6 x

Graph

Popular Examples

y^{''}+4y=8x^2+9x

y^{'''}-3y^{''}+3y^'-y=xe^x

y^{''}-14y^'+49y=49x+4

y^{''}+9y=5e^x-162x^2

Frequently Asked Questions (FAQ)

What is the solution for (d^2+1)y=x^3 ?
The solution for (d^2+1)y=x^3 is y=c_{1}cos(x)+c_{2}sin(x)+x^3-6x