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Popular >

(dy)/(dx)=xy+2y

Solution

\frac{d y}{d x} = x y + 2 y

Solution

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

Solution steps

\frac{d y}{d x} = x y + 2 y

Solve separable ODE:

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

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

Graph

Popular Examples

y^{''}-10y^'+25y=(4.5e^{5t})/(tt+1)

y^{^{''}} - 10 y^{^{'}} + 25 y = \frac{4.5 e ^{5 t}}{tt + 1}

(dy)/(dx)=6x^5cos^2(y)

\frac{d y}{d x} = 6 x^{5} cos^{2} (y)

integral of (11x)/(x^4+1)

\int \frac{11 x}{x ^{4} + 1} d x

integral of cot^3(x)(sec^2(x)-1)

\int cot^{3} (x) (sec^{2} (x) - 1) d x

derivative of (100/x)

\frac{d}{d x} (\frac{100}{x})

Frequently Asked Questions (FAQ)

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