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Popular >

xy^'-y=x^3

Solution

x y^{^{'}} - y = x^{3}

Solution

y = \frac{x ^{3}}{2} + c_{1} x

Solution steps

x y^{'} (x) - y = x^{3}

Solve linear ODE:

y = \frac{x ^{3}}{2} + c_{1} x

y = \frac{x ^{3}}{2} + c_{1} x

Popular Examples

f (x) = - x

integral of (sqrt(256-x^2))/x

\int \frac{256 - x ^{2}}{x} d x

integral of x/((x^2+1)sqrt(1-x^4))

\int \frac{x}{( x ^{2} + 1 ) 1 - x ^{4}} d x

(\partial)/(\partial y)(cos(y-x))

\frac{\partial}{\partial y} (cos (y - x))

limit as x approaches 4-of (x-5)/(x-4)

x \to 4 - lim (\frac{x - 5}{x - 4})

Frequently Asked Questions (FAQ)

What is the solution for xy^'-y=x^3 ?
The solution for xy^'-y=x^3 is y=(x^3)/2+c_{1}x