What is the solution for (dy)/(dx)+ln((x+1)^{y/x})=x^3y^1 ?

The solution for (dy)/(dx)+ln((x+1)^{y/x})=x^3y^1 is y=e^{integral of (x^4-ln(x+1))/x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)+ln((x+1)^{y/x})=x^3y^1

\frac{d y}{d x} + ln ((x + 1)^{\frac{y}{x}}) = x^{3} y^{1}

y = e^{\int \frac{x ^{4} - l n ( x + 1 )}{x} d x}

Solution steps

\frac{d y}{d x} + ln ((x + 1)^{\frac{y}{x}}) = x^{3} y^{1}

Solve separable ODE:

y = e^{\int \frac{x ^{4} - l n ( x + 1 )}{x} d x}

y = e^{\int \frac{x ^{4} - l n ( x + 1 )}{x} d x}

What is the solution for (dy)/(dx)+ln((x+1)^{y/x})=x^3y^1 ?
The solution for (dy)/(dx)+ln((x+1)^{y/x})=x^3y^1 is y=e^{integral of (x^4-ln(x+1))/x}