What is the solution for (dy)/(dx)=-6x^2y+9x^2 ?

The solution for (dy)/(dx)=-6x^2y+9x^2 is y=(e^{-2x^3+c_{1}})/2+3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=-6x^2y+9x^2

\frac{d y}{d x} = - 6 x^{2} y + 9 x^{2}

y = \frac{e ^{- 2 x^{3} + c_{1}}}{2} + \frac{3}{2}

Solution steps

\frac{d y}{d x} = - 6 x^{2} y + 9 x^{2}

Solve separable ODE:

y = \frac{e ^{- 2 x^{3} + c_{1}}}{2} + \frac{3}{2}

y = \frac{e ^{- 2 x^{3} + c_{1}}}{2} + \frac{3}{2}

y^{^{'}} tan (x) = a + y, y (\frac{π}{3}) = a

y^{^{'}} + x^{3} y = 3 x^{3}, y (0) = 8

\frac{d P}{d t} = 0.062 P

y^{^{'}} = \frac{4 cos ( 4 x )}{3 + 2 y}, y (0) = - 1

\frac{d y}{d x} = 7 - y^{2}

What is the solution for (dy)/(dx)=-6x^2y+9x^2 ?
The solution for (dy)/(dx)=-6x^2y+9x^2 is y=(e^{-2x^3+c_{1}})/2+3/2