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Popular >

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

Solution

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

Solution

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

Solution steps

y^{'} (x) - 2 \cdot x \cdot 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

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y = \frac{1}{x}, y = \frac{1}{x ^{2}}, y = 4

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x \to + \frac{π}{2} lim (sec^{2} (x))

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3 x^{2} + \frac{16 x}{3} - 2

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f (x) = \frac{x}{x ^{2} + 3}

Frequently Asked Questions (FAQ)

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