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Popular >

y^'+xy=x^3

Solution

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

Solution

y = x^{2} - 2 + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

Solution steps

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

Solve linear ODE:

y = x^{2} - 2 + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

y = x^{2} - 2 + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

Popular Examples

area y=2sqrt(x),y=(x^2)/4 area

y = 2 x, y = \frac{x ^{2}}{4}

derivative of ln(x^2-2)

\frac{d}{d x} (ln (x^{2} - 2))

integral of 1/((x+5)^2(x-2))

\int \frac{1}{( x + 5 ) ^{2} ( x - 2 )} d x

(\partial)/(\partial y)((5xy)/(x-y))

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

derivative of f(x)=x+3/x derivative of

f (x) = x + \frac{3}{x}

Frequently Asked Questions (FAQ)

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