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Popular >

(dy)/(dx)=-a(y-b)

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

integral of (\sqrt[3]{x})

tangent of y=x^3-4x tangent of

y = x^{3} - 4 x

derivative of (2-x)/(e^{3x)}derivative of

\frac{2 - x}{e ^{3 x}}

integral of (x^2)/((x+2)^3)

\int \frac{x ^{2}}{( x + 2 ) ^{3}} d x

(dy)/(dx)=(8+x)^2

\frac{d y}{d x} = (8 + x)^{2}

Frequently Asked Questions (FAQ)

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