What is the solution for (dy)/(dx)=6x^4sqrt(y),y>0 ?

The solution for (dy)/(dx)=6x^4sqrt(y),y>0 is y=(9x^{10}}{25}+\frac{3c_{1}x^5)/5+(c_{1}^2)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=6x^4sqrt(y),y>0

\frac{d y}{d x} = 6 x^{4} y, y > 0

y = \frac{9 x ^{10}}{25} + \frac{3 c _{1} x ^{5}}{5} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 6 x^{4} y

Solve separable ODE:

y = \frac{9 x ^{10}}{25} + \frac{3 c _{1} x ^{5}}{5} + \frac{c _{1}^{2}}{4}

y = \frac{9 x ^{10}}{25} + \frac{3 c _{1} x ^{5}}{5} + \frac{c _{1}^{2}}{4}

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

\frac{d y}{d x} y = 3 x^{5} + 4 x^{2} + x^{2} + 1000

y^{^{'}} - 2 y^{^{'}} - 3 y = 0

x (y - 1) d x + (x + 1) d y = 0, x = 2

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

What is the solution for (dy)/(dx)=6x^4sqrt(y),y>0 ?
The solution for (dy)/(dx)=6x^4sqrt(y),y>0 is y=(9x^{10}}{25}+\frac{3c_{1}x^5)/5+(c_{1}^2)/4