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Popular >

x(dy)/(dx)-y=x^2e^x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

(\partial)/(\partial x)(ln(sqrt(3x)+5y))

\frac{\partial}{\partial x} (ln (3 x + 5 y))

limit as x approaches pi of (2x-2pi)cot(x)

x \to π lim ((2 x - 2 π) cot (x))

derivative of cos(x^2-1)

\frac{d}{d x} (cos (x^{2} - 1))

(\partial)/(\partial x)((6x)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{6 x}{x ^{2} + y ^{2}})

y^'=2x+y,y(0)=7

y^{^{'}} = 2 x + y, y (0) = 7

Frequently Asked Questions (FAQ)

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