What is the solution for (dy)/(dx)=sqrt(4y)e^{x+4} ?

The solution for (dy)/(dx)=sqrt(4y)e^{x+4} is y=e^{8+2x}+c_{1}e^{4+x}+(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)=sqrt(4y)e^{x+4}

\frac{d y}{d x} = 4 y e^{x + 4}

y = e^{8 + 2 x} + c_{1} e^{4 + x} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 4 y e^{x + 4}

Solve separable ODE:

y = e^{8 + 2 x} + c_{1} e^{4 + x} + \frac{c _{1}^{2}}{4}

y = e^{8 + 2 x} + c_{1} e^{4 + x} + \frac{c _{1}^{2}}{4}

(x + y) d y = (x - y) d x

f (x) = x^{4} - 13 x^{2} + 36, at x = - 2

\frac{d}{d x} (5 x^{3} - 5 x)

\frac{\partial}{\partial x} (cos (0.6 x - t))

\int \frac{300}{2 x + 25} d x

What is the solution for (dy)/(dx)=sqrt(4y)e^{x+4} ?
The solution for (dy)/(dx)=sqrt(4y)e^{x+4} is y=e^{8+2x}+c_{1}e^{4+x}+(c_{1}^2)/4