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Popular >

(dy)/(dx)=xy,y(0)=2

Solution

\frac{d y}{d x} = x y, y (0) = 2

Solution

y = 2 e^{\frac{x ^{2}}{2}}

Solution steps

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

Solve separable ODE:

y = 2 e^{\frac{x ^{2}}{2}}

y = 2 e^{\frac{x ^{2}}{2}}

Popular Examples

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f (x) = 2 e^{2 x - 4} - e^{2 x - 4}

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\int_{0}^{5} 2 π y (25 - y^{2}) d y

(cos (ln (x)))^{^{'}}

derivative of a{r}(xc)

\frac{d}{d x} (a r (x) c)

derivative of 2sin(x)+sin^2(x)derivative of

2 sin (x) + sin^{2} (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=xy,y(0)=2 ?
The solution for (dy)/(dx)=xy,y(0)=2 is y=2e^{(x^2)/2}