What is the solution for sqrt(x)(dy)/(dx)=e^{8y+sqrt(x)},x>0 ?

The solution for sqrt(x)(dy)/(dx)=e^{8y+sqrt(x)},x>0 is y=-(ln(-16e^{sqrt(x)}-c_{1}))/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sqrt(x)(dy)/(dx)=e^{8y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{8 y + x}, x > 0

y = - \frac{ln ( - 16 e ^{x} - c _{1} )}{8}

Solution steps

x \frac{d y}{d x} = e^{8 y + x}

Solve separable ODE:

y = - \frac{ln ( - 16 e ^{x} - c _{1} )}{8}

y = - \frac{ln ( - 16 e ^{x} - c _{1} )}{8}

What is the solution for sqrt(x)(dy)/(dx)=e^{8y+sqrt(x)},x>0 ?
The solution for sqrt(x)(dy)/(dx)=e^{8y+sqrt(x)},x>0 is y=-(ln(-16e^{sqrt(x)}-c_{1}))/8