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Popular >

(dy)/(dx)+ay=b

Solution

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

Solution

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

Solution steps

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

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

integral of (x^3)/((7-x^4)^5)

\int \frac{x ^{3}}{( 7 - x ^{4} ) ^{5}} d x

(\partial)/(\partial x)(e^{x(e^y)})

\frac{\partial}{\partial x} (e^{x (e^{y})})

derivative of 2(x-2)-cos(3x)*3 derivative of

2 (x - 2) - cos (3 x) \cdot 3

integral of-e^{-t}

\int - e^{- t} d t

derivative of arcsec(2x)

\frac{d}{d x} (arcsec (2 x))

Frequently Asked Questions (FAQ)

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