en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=x+4y

Solution

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

Solution

y = - \frac{4 x + 1}{16} + c_{1} e^{4 x}

Solution steps

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

Solve linear ODE:

y = - \frac{4 x + 1}{16} + c_{1} e^{4 x}

y = - \frac{4 x + 1}{16} + c_{1} e^{4 x}

Popular Examples

(\partial)/(\partial x)(y/(y-x))

\frac{\partial}{\partial x} (\frac{y}{y - x})

integral from 1 to 2 of 4xsqrt(3x^2-1)

\int_{1}^{2} 4 x 3 x^{2} - 1 d x

derivative of f(x)=(pix)^2 derivative of

f (x) = (π x)^{2}

derivative of y=e^x2^x derivative of

y = e^{x} 2^{x}

area y=2x^2,x=2,y=0 area

y = 2 x^{2}, x = 2, y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x+4y ?
The solution for (dy)/(dx)=x+4y is y=-(4x+1)/(16)+c_{1}e^{4x}