What is the solution for (dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0 ?

The solution for (dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0 is y=(sin(x^2))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0

\frac{d y}{d x} = \frac{2}{3} x 1 - 9 y^{2}, y (0) = 0

y = \frac{sin ( x ^{2} )}{3}

Solution steps

\frac{d y}{d x} = \frac{2}{3} x 1 - 9 y^{2}

Solve separable ODE:

y = \frac{sin ( x ^{2} )}{3}

y = \frac{sin ( x ^{2} )}{3}

\frac{d v}{d t} = \frac{2}{9} v

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

(1 + e^{x}) y \cdot y^{^{'}} = e^{y}

x y^{^{'}} - y = 0, y (0) = x

y^{^{'}} - y = 0, y (0) = 2

What is the solution for (dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0 ?
The solution for (dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0 is y=(sin(x^2))/3