What is the solution for (dy)/(dx)=e^{9x-8y} ?

The solution for (dy)/(dx)=e^{9x-8y} is y=(ln(8/9 e^{9x}+c_{1}))/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=e^{9x-8y}

\frac{d y}{d x} = e^{9 x - 8 y}

y = \frac{ln ( \frac{8}{9} e ^{9 x} + c _{1} )}{8}

Solution steps

\frac{d y}{d x} = e^{9 x - 8 y}

Solve separable ODE:

y = \frac{ln ( \frac{8}{9} e ^{9 x} + c _{1} )}{8}

y = \frac{ln ( \frac{8}{9} e ^{9 x} + c _{1} )}{8}

d y + 0.15 (y - 30) d x = 0

\frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4

x \to \infty lim (1 + \frac{8}{x})

8 x^{2} e^{x}

\frac{d}{d x} (1 - 121 x^{2} arccos (11 x))

What is the solution for (dy)/(dx)=e^{9x-8y} ?
The solution for (dy)/(dx)=e^{9x-8y} is y=(ln(8/9 e^{9x}+c_{1}))/8