en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)-2y=4-x

Solution

\frac{d y}{d x} - 2 y = 4 - x

Solution

y = \frac{x}{2} - \frac{7}{4} + c_{1} e^{2 x}

Solution steps

\frac{d y}{d x} - 2 y = 4 - x

Solve linear ODE:

y = \frac{x}{2} - \frac{7}{4} + c_{1} e^{2 x}

y = \frac{x}{2} - \frac{7}{4} + c_{1} e^{2 x}

Popular Examples

limit as x approaches infinity of (4x^{-1}-2x^{-3})/(3x^{-2)+x^{-5}}

x \to \infty lim (\frac{4 x ^{- 1} - 2 x ^{- 3}}{3 x ^{- 2} + x ^{- 5}})

derivative of e^{-t/2}-(e^{-t/2}t)/2 derivative of

e^{- \frac{t}{2}} - \frac{e ^{- \frac{t}{2}} t}{2}

tangent of y=8sqrt(x)-6,(64,58)tangent of

y = 8 x - 6, (64, 58)

integral from 7 to 9 of (x^2+2x-5)

\int_{7}^{9} (x^{2} + 2 x - 5) d x

integral of x^2e^{4x}

\int x^{2} e^{4 x} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-2y=4-x ?
The solution for (dy)/(dx)-2y=4-x is y= x/2-7/4+c_{1}e^{2x}