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Popular >

y^'-2xy=e^{x^2}

Solution

y^{^{'}} - 2 x y = e^{x^{2}}

Solution

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

Solution steps

y^{'} (x) - 2 x y = e^{x^{2}}

Solve linear ODE:

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

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

Graph

Popular Examples

integral of (2x^{10}+4x^9+x^8+10)

\int (2 x^{10} + 4 x^{9} + x^{8} + 10) d x

integral of x^2(x^2-6x+9)

\int x^{2} (x^{2} - 6 x + 9) d x

derivative of 10x^2-5x+9

\frac{d}{d x} (10 x^{2} - 5 x + 9)

integral of (e^x+1)^3

\int (e^{x} + 1)^{3} d x

integral of (3x^2-6x+9/x+4e^x)

\int (3 x^{2} - 6 x + \frac{9}{x} + 4 e^{x}) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'-2xy=e^{x^2} ?
The solution for y^'-2xy=e^{x^2} is y=e^{x^2}x+c_{1}e^{x^2}