What is the solution for (dy)/(dx)=sqrt(3y)e^{x+7} ?

The solution for (dy)/(dx)=sqrt(3y)e^{x+7} is y=(3e^{14+2x})/4+(sqrt(3)c_{1}e^{x+7})/2+(c_{1}^2)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=sqrt(3y)e^{x+7}

\frac{d y}{d x} = 3 y e^{x + 7}

y = \frac{3 e ^{14 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 7}}{2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 3 y e^{x + 7}

Solve separable ODE:

y = \frac{3 e ^{14 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 7}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{3 e ^{14 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 7}}{2} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=sqrt(3y)e^{x+7} ?
The solution for (dy)/(dx)=sqrt(3y)e^{x+7} is y=(3e^{14+2x})/4+(sqrt(3)c_{1}e^{x+7})/2+(c_{1}^2)/4