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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Solve linear ODE:

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

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

x^{^{''}} - x^{^{'}} - 1 = - 1

y^{^{''}} - y^{^{'}} - 30 y = 0, y (0) = 0, y^{^{'}} (0) = 5

49 y^{^{'''}} + 28 y^{^{''}} + 4 y^{^{'}} = 0

y^{^{'''}} - 5 y^{^{''}} - 36 y^{^{'}} = 0

\frac{3}{2} y^{^{''}} + 3 y^{^{'}} + 5 y = 0

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