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Popular Calculus >

(dy)/(dx)=5y+a

Solution

\frac{d y}{d x} = 5 y + a

Solution

y = \frac{e ^{5 x + c_{1}}}{5} - \frac{a}{5}

Solution steps

\frac{d y}{d x} = 5 y + a

Solve separable ODE:

y = \frac{e ^{5 x + c_{1}}}{5} - \frac{a}{5}

y = \frac{e ^{5 x + c_{1}}}{5} - \frac{a}{5}

Graph

Popular Examples

integral of (x^2+4x)

inverse oflaplace 4/((s+1)(s+2)^3)

derivative of (5x+2/(3x-4))

inverse oflaplace 1/((s-1)^2(s+5))

tangent of f(x)=sin(sin(x)),\at x=4pi

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5y+a ?
The solution for (dy)/(dx)=5y+a is y=(e^{5x+c_{1}})/5-a/5