What is the solution for sqrt(x)+sqrt(y)(dy)/(dx)=0,y(16)=4 ?

The solution for sqrt(x)+sqrt(y)(dy)/(dx)=0,y(16)=4 is y=\sqrt[3]{x^3-144x^{3/2}+5184}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x)+sqrt(y)(dy)/(dx)=0,y(16)=4

x + y \frac{d y}{d x} = 0, y (16) = 4

Solution steps

x + y \frac{d y}{d x} = 0

Solve separable ODE:

x = \frac{1}{y ^{2}}, x = 1, x = 4

\int \frac{- 8}{x ^{2} + 16} d x

\frac{d}{d x} (arctan (sin (7 x)))

\frac{d y}{d x} + 6 y = x e^{- 6 x}

\frac{\partial}{\partial x} (48 x^{7} y^{7} + 30 x^{5} y^{5})

What is the solution for sqrt(x)+sqrt(y)(dy)/(dx)=0,y(16)=4 ?
The solution for sqrt(x)+sqrt(y)(dy)/(dx)=0,y(16)=4 is y=\sqrt[3]{x^3-144x^{3/2}+5184}