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Popular >

xy^'-y=3xln(x)

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of 1/10 x^5-3x^3 derivative of

\frac{1}{10} x^{5} - 3 x^{3}

integral of (3x-11)/(x^3-5x^2)

\int \frac{3 x - 11}{x ^{3} - 5 x ^{2}} d x

integral of-8y^3

\int - 8 y^{3} d y

(\partial)/(\partial x)(x^2+2y^2+9xz)

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

limit as t approaches 0-of t^2+1

t \to 0 - lim (t^{2} + 1)

Frequently Asked Questions (FAQ)

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