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Popular >

(dy)/(dx)=-ay-b

Solution

\frac{d y}{d x} = - a y - b

Solution

y = \frac{e ^{- x a - c_{1} a}}{a} - \frac{b}{a}

Solution steps

\frac{d y}{d x} = - a y (x) - b

Solve separable ODE:

y = \frac{e ^{- x a - c_{1} a}}{a} - \frac{b}{a}

y = \frac{e ^{- x a - c_{1} a}}{a} - \frac{b}{a}

Graph

Popular Examples

(x^2+1)y^'+4xy=x

(x^{2} + 1) y^{^{'}} + 4 x y = x

derivative of x^2y^2+xy=0

\frac{d}{d x} (x^{2} y^{2} + x y) = 0

y^'=(1+y)/(tan(x))

y^{^{'}} = \frac{1 + y}{tan ( x )}

(x^2+1)y^'+4xy=0

(x^{2} + 1) y^{^{'}} + 4 x y = 0

(dy}{dx}=\frac{4y)/x ,y=2,x=1

\frac{d y}{d x} = \frac{4 y}{x}, y = 2, x = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-ay-b ?
The solution for (dy)/(dx)=-ay-b is y=(e^{-xa-c_{1}a})/a-b/a