en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+6y=9

Solution

\frac{d y}{d x} + 6 y = 9

Solution

y = - \frac{e ^{- 6 x - c_{1}}}{2} + \frac{3}{2}

Solution steps

\frac{d y}{d x} + 6 y = 9

Solve separable ODE:

y = - \frac{e ^{- 6 x - c_{1}}}{2} + \frac{3}{2}

y = - \frac{e ^{- 6 x - c_{1}}}{2} + \frac{3}{2}

Popular Examples

integral from 0 to 5 of x^2(x-5)^4

\int_{0}^{5} x^{2} (x - 5)^{4} d x

limit as x approaches 2 of (x-2)/(x^3-8)

x \to 2 lim (\frac{x - 2}{x ^{3} - 8})

f^'(x)=x^3-5x^2+3

f^{^{'}} (x) = x^{3} - 5 x^{2} + 3

tangent of 256=4x^2+2xy-4y^3,(2,-4)tangent of

256 = 4 x^{2} + 2 x y - 4 y^{3}, (2, - 4)

integral of (cos(3x))/(sin(3x))

\int \frac{cos ( 3 x )}{sin ( 3 x )} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+6y=9 ?
The solution for (dy)/(dx)+6y=9 is y=-(e^{-6x-c_{1}})/2+3/2