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Popular >

5xy^'-2y=9x^2

Solution

5 x y^{^{'}} - 2 y = 9 x^{2}

Solution

y = \frac{9 x ^{2}}{8} + c_{1} x^{\frac{2}{5}}

Solution steps

5 x y^{'} (x) - 2 y = 9 x^{2}

Solve linear ODE:

y = \frac{9 x ^{2}}{8} + c_{1} x^{\frac{2}{5}}

y = \frac{9 x ^{2}}{8} + c_{1} x^{\frac{2}{5}}

Popular Examples

derivative of (x^3/3-(x^2)/2-6x)

\frac{d}{d x} (\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x)

derivative of e^xx^5+10e^xx^4+20e^xx^3

\frac{d}{d x} (e^{x} x^{5} + 10 e^{x} x^{4} + 20 e^{x} x^{3})

integral of 9sin^2(x)cos(x)

\int 9 sin^{2} (x) cos (x) d x

f (x) = 4 x + 5

integral of (x^3+cos(2x))

\int (x^{3} + cos (2 x)) d x

Frequently Asked Questions (FAQ)

What is the solution for 5xy^'-2y=9x^2 ?
The solution for 5xy^'-2y=9x^2 is y=(9x^2)/8+c_{1}x^{2/5}