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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

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

Solution steps

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

Solve linear ODE:

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

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

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