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Popular >

y^'+ay-b=0

Solution

y^{^{'}} + a y - b = 0

Solution

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

Solution steps

y^{'} (t) + a y (t) - b = 0

Solve separable ODE:

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

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

Popular Examples

integral of 5/(4+9r^2)

\int \frac{5}{4 + 9 r ^{2}} d r

limit as x approaches infinity of 4+x

x \to \infty lim (4 + x)

integral of ((x+3))/((x+4))

\int \frac{( x + 3 )}{( x + 4 )} d x

derivative of 4x^3+3x^2+2x+1

\frac{d}{d x} (4 x^{3} + 3 x^{2} + 2 x + 1)

derivative of y=2x^2-5 derivative of

y = 2 x^{2} - 5

Frequently Asked Questions (FAQ)

What is the solution for y^'+ay-b=0 ?
The solution for y^'+ay-b=0 is y=-(e^{-at-c_{1}a})/a+b/a