What is the solution for (dy)/(dx)=5sqrt(y) ?

The solution for (dy)/(dx)=5sqrt(y) is y=(25x^2)/4+(5c_{1}x)/2+(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)=5sqrt(y)

\frac{d y}{d x} = 5 y

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

Solution steps

\frac{d y}{d x} = 5 y

Solve separable ODE:

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

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

21 x y^{^{'}} - ln (x^{7}) = 0

\int \frac{2 x}{( x ^{2} + 5 ) ln ( x ^{2} + 5 )} d x

f (x) = 9 x^{2} - x^{3}, at x = 1

\frac{\partial}{\partial y} (3 x + 2 y)

\frac{d y}{d x} = e^{3 x + y}

What is the solution for (dy)/(dx)=5sqrt(y) ?
The solution for (dy)/(dx)=5sqrt(y) is y=(25x^2)/4+(5c_{1}x)/2+(c_{1}^2)/4