What is the solution for xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1 ?

The solution for xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1 is y=c_{1}\sqrt[3]{x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1

x y^{2} cos (x) d x - 3 x^{2} y cos (x) d y = 0, y (1) = 1

Solution steps

x y^{2} cos (x) d x - 3 x^{2} y cos (x) d y = 0

Solve separable ODE:

\frac{d P}{d t} = 2 Pt, P (1) = 2

\frac{d V}{d P} = - \frac{V}{P}

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

(1 - x) \frac{d y}{d x} = y^{2}

y^{^{'}} = \frac{1 - 2 x}{y}, y (1) = - 2

What is the solution for xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1 ?
The solution for xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1 is y=c_{1}\sqrt[3]{x}