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Popular >

(dy)/(dx)-xy=x

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

25y^{''}+90y^'+81y=0

25 y^{^{''}} + 90 y^{^{'}} + 81 y = 0

derivative of 656112^{sqrt(x)}

\frac{d}{d x} (65611 2^{x})

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\int \frac{1}{sin ( 2 x )} d x

derivative of 3sec(8x)

\frac{d}{d x} (3 sec (8 x))

derivative of 9excos(x)derivative of

9 e x cos (x)

Frequently Asked Questions (FAQ)

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