en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(D^2-D)y=2-2x

Solution

(D^{2} - D) y = 2 - 2 x

Solution

y = c_{1} e^{x} + c_{2} + x^{2}

Solution steps

(D^{2} - D) y = 2 - 2 x

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + x^{2}

y = c_{1} e^{x} + c_{2} + x^{2}

Graph

Popular Examples

y^{''}-6y^'+8y=x,y(0)=0,y^'(0)=0

y^{^{''}} - 6 y^{^{'}} + 8 y = x, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+2y^'-63y=x^2

y^{^{''}} + 2 y^{^{'}} - 63 y = x^{2}

y^{''}+3y^'+2y=e^t,y(0)=1,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{t}, y (0) = 1, y^{^{'}} (0) = 0

y^{''}+y=cos(ax)

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

y^{''}+5y^'-36y=-128t+72t^2

y^{^{''}} + 5 y^{^{'}} - 36 y = - 128 t + 72 t^{2}

Frequently Asked Questions (FAQ)

What is the solution for (D^2-D)y=2-2x ?
The solution for (D^2-D)y=2-2x is y=c_{1}e^x+c_{2}+x^2