What is the solution for (dy)/(dx)=2xy+5y,y(0)=3 ?

The solution for (dy)/(dx)=2xy+5y,y(0)=3 is y=3e^{x^2+5x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=2xy+5y,y(0)=3

\frac{d y}{d x} = 2 x y + 5 y, y (0) = 3

y = 3 e^{x^{2} + 5 x}

Solution steps

\frac{d y}{d x} = 2 x y + 5 y

Solve separable ODE:

y = 3 e^{x^{2} + 5 x}

y = 3 e^{x^{2} + 5 x}

x ln (x) d y - y d x = 0

\frac{d y}{d x} = e^{x - y}, y (0) = ln (4)

\frac{d y}{d x} = \frac{tan ( y )}{x}

5 x^{2} d y = \frac{x ^{4} \cdot e ^{3 x}}{y ^{2}} d x

y^{^{'}} + sin^{2} (x) y = cos^{2} (x) y

What is the solution for (dy)/(dx)=2xy+5y,y(0)=3 ?
The solution for (dy)/(dx)=2xy+5y,y(0)=3 is y=3e^{x^2+5x}