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Popular >

y^'+y/x =4x^2

Solution

y^{^{'}} + \frac{y}{x} = 4 x^{2}

Solution

y = x^{3} + \frac{c _{1}}{x}

Solution steps

y^{'} (x) + \frac{y}{x} = 4 x^{2}

Solve linear ODE:

y = x^{3} + \frac{c _{1}}{x}

y = x^{3} + \frac{c _{1}}{x}

Popular Examples

(dy)/(dx)=(e^x)/(5+e^x)

\frac{d y}{d x} = \frac{e ^{x}}{5 + e ^{x}}

integral of ((ln(z))^3)/z

\int \frac{( ln ( z ) ) ^{3}}{z} d z

limit as x approaches 0 of 1/(4x)-1/((e^{4x)-1)}

x \to 0 lim (\frac{1}{4 x} - \frac{1}{( e ^{4 x} - 1 )})

integral of 1/(x^{11/5)}

\int \frac{1}{x ^{\frac{11}{5}}} d x

(\partial)/(\partial x)(tan(9+2x^2y^3z^2))

\frac{\partial}{\partial x} (tan (9 + 2 x^{2} y^{3} z^{2}))

Frequently Asked Questions (FAQ)

What is the solution for y^'+y/x =4x^2 ?
The solution for y^'+y/x =4x^2 is y=x^3+(c_{1})/x