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Popular >

(dy)/(dx)=xy+5x

Solution

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

Solution

y = e^{\frac{x ^{2}}{2} + c_{1}} - 5

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} - 5

y = e^{\frac{x ^{2}}{2} + c_{1}} - 5

Popular Examples

limit as x approaches 0 of x/(sin(5x))

x \to 0 lim (\frac{x}{sin ( 5 x )})

integral from 0 to 4 of 1/(x^2-x-2)

\int_{0}^{4} \frac{1}{x ^{2} - x - 2} d x

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

\frac{2}{s ( s ^{2} + 4 s + 3 )}

limit as x approaches infinity of (6x^2+2x)/(2x^2-2x+1)

x \to \infty lim (\frac{6 x ^{2} + 2 x}{2 x ^{2} - 2 x + 1})

integral of cos^3(x/2)

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=xy+5x ?
The solution for (dy)/(dx)=xy+5x is y=e^{(x^2)/2+c_{1}}-5