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Popular >

xy^'-y=x^2sin(x)

Solution

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

Solution

y = - cos (x) x + c_{1} x

Solution steps

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

Solve linear ODE:

y = - cos (x) x + c_{1} x

y = - cos (x) x + c_{1} x

Popular Examples

(dx)/(dy)=5x(6-x)

\frac{d x}{d y} = 5 x (6 - x)

(\partial)/(\partial x)(-(2x^2)/(5y^2))

\frac{\partial}{\partial x} (- \frac{2 x ^{2}}{5 y ^{2}})

limit as x approaches 0 of ((1+x)^5-1)/x

x \to 0 lim (\frac{( 1 + x ) ^{5} - 1}{x})

limit as y approaches-3 of log_{2}(3)y^2

y \to - 3 lim (lo g_{2} (3) y^{2})

integral of (r^3)/(1+r^2)

\int \frac{r ^{3}}{1 + r ^{2}} d r

Frequently Asked Questions (FAQ)

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