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Popular >

xy^'=2y+x^3

Solution

x y^{^{'}} = 2 y + x^{3}

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

integral of (sin(4x))/(cos^3(4x))

\int \frac{sin ( 4 x )}{cos ^{3} ( 4 x )} d x

(\partial)/(\partial x)(k)

\frac{\partial}{\partial x} (k)

derivative of (3x-3x^2tan(x))

\frac{d}{d x} ((3 x - 3 x^{2}) tan (x))

integral of 1/(ax^2+bx+c)

\int \frac{1}{a x ^{2} + b x + c} d x

y^'-((2x)/(1+x^2))y=0,y(0)=4

y^{^{'}} - (\frac{2 x}{1 + x ^{2}}) y = 0, y (0) = 4

Frequently Asked Questions (FAQ)

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