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Popular >

xy^'=2y+e^xx^3

Solution

x \cdot y^{^{'}} = 2 y + e^{x} \cdot x^{3}

Solution

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

Solution steps

x \cdot y^{'} (x) = 2 y + e^{x} \cdot x^{3}

Solve linear ODE:

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

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

Popular Examples

limit as x approaches-1/2 of 7/(2x+1)

x \to - \frac{1}{2} lim (\frac{7}{2 x + 1})

area-x^2+2x,3x^3-x^2-10x area

- x^{2} + 2 x, 3 x^{3} - x^{2} - 10 x

derivative of 5sin(-3x+pi/4)derivative of

5 sin (- 3 x + \frac{π}{4})

limit as x approaches 3 of 5^2-9x+7

x \to 3 lim (5^{2} - 9 x + 7)

integral from-2 to 3 of x^2-3

\int_{- 2}^{3} x^{2} - 3 d x

Frequently Asked Questions (FAQ)

What is the solution for x*y^'=2y+e^x*x^3 ?
The solution for x*y^'=2y+e^x*x^3 is y=e^xx^2+c_{1}x^2