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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

tangent of f(x)=(36x)/(x^2+36)tangent of

f (x) = \frac{36 x}{x ^{2} + 36}

integral of ((4x^2))/((x-2)(x^2+4))

\int \frac{( 4 x ^{2} )}{( x - 2 ) ( x ^{2} + 4 )} d x

integral of (x^n)/n

\int \frac{x ^{n}}{n} d x

integral from 5 to 9 of ((x-4)/(x^2))

\int_{5}^{9} (\frac{x - 4}{x ^{2}}) d x

derivative of (x^2+4x+5x^3/(x+1))

\frac{d}{d x} (\frac{x ^{2} + 4 x + 5 x ^{3}}{x + 1})

Frequently Asked Questions (FAQ)

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