What is the solution for (d^3y)/(dx^3)+(d^2y)/(dx^2)=0 ?

The solution for (d^3y)/(dx^3)+(d^2y)/(dx^2)=0 is y=c_{1}e^{-x}+c_{2}+c_{3}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^3y)/(dx^3)+(d^2y)/(dx^2)=0

\frac{d ^{3} y}{d x ^{3}} + \frac{d ^{2} y}{d x ^{2}} = 0

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

Solution steps

\frac{d ^{3} y}{d x ^{3}} + \frac{d ^{2} y}{d x ^{2}} = 0

Solve linear ODE:

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

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

64 y^{^{''}} + 144 y^{^{'}} + 81 y = 0

y^{^{'''}} + 3 y^{^{''}} - 22 y^{^{'}} - 24 y = 0

2 y^{^{''''}} + 3 y^{^{'''}} + 2 y^{^{''}} + 6 y^{^{'}} - 4 y = 0

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

y^{^{''}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

What is the solution for (d^3y)/(dx^3)+(d^2y)/(dx^2)=0 ?
The solution for (d^3y)/(dx^3)+(d^2y)/(dx^2)=0 is y=c_{1}e^{-x}+c_{2}+c_{3}x