What is the solution for y^{'''}+y^{''}=x+1 ?

The solution for y^{'''}+y^{''}=x+1 is y=c_{1}e^{-x}+c_{2}+c_{3}x+(x^3)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{'''}+y^{''}=x+1

y^{^{'''}} + y^{^{''}} = x + 1

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{x ^{3}}{6}

Solution steps

y^{'''} (x) + y^{''} (x) = x + 1

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{x ^{3}}{6}

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{x ^{3}}{6}

y^{^{''}} + y - 20 y = (x + 1) e^{x}

y^{^{''}} - 4 y = sin (2 x)

y^{^{''}} - 2 y^{^{'}} + 13 y = 2 e^{3 t}

y^{^{''}} + 5 y^{^{'}} + 4 x = 0

y^{^{''}} + 25 y = 25, y (0) = 1, y^{^{'}} (0) = - 5

What is the solution for y^{'''}+y^{''}=x+1 ?
The solution for y^{'''}+y^{''}=x+1 is y=c_{1}e^{-x}+c_{2}+c_{3}x+(x^3)/6