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Popular >

(dy)/(dx)=b-ay

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

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

tangent of y=t^3-36t+4,(6,4)tangent of

y = t^{3} - 36 t + 4, (6, 4)

limit as x approaches 0-of e^{4/(x^5)}

x \to 0 - lim (e^{\frac{4}{x ^{5}}})

integral of (x^2-6)/((x+2)(2x-1))

\int \frac{x ^{2} - 6}{( x + 2 ) ( 2 x - 1 )} d x

area y=x^2,y=sqrt(6+x)area

y = x^{2}, y = 6 + x

Frequently Asked Questions (FAQ)

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