What is the solution for (dy)/(dx)=7xsqrt(y),y\ne 0 ?

The solution for (dy)/(dx)=7xsqrt(y),y\ne 0 is y=(49x^4}{16}+\frac{7c_{1}x^2)/4+(c_{1}^2)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=7xsqrt(y),y\ne 0

\frac{d y}{d x} = 7 x y, y \neq = 0

y = \frac{49 x ^{4}}{16} + \frac{7 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 7 x y

Solve separable ODE:

y = \frac{49 x ^{4}}{16} + \frac{7 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{49 x ^{4}}{16} + \frac{7 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=7xsqrt(y),y\ne 0 ?
The solution for (dy)/(dx)=7xsqrt(y),y\ne 0 is y=(49x^4}{16}+\frac{7c_{1}x^2)/4+(c_{1}^2)/4