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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

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n = 0 \sum \infty (\frac{7}{8})^{n}

(\partial)/(\partial y)((z^2+2x+y)/(xy))

\frac{\partial}{\partial y} (\frac{z ^{2} + 2 x + y}{x y})

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\frac{\partial}{\partial x} (x^{2} + y - e^{x + y})

integral of ((y-2)^2)/(sqrt(y))

\int \frac{( y - 2 ) ^{2}}{y} d y

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