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Popular >

(y^2+xy)dx+x^2dy=0

Solution

(y^{2} + x y) d x + x^{2} d y = 0

Solution

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

Solution steps

(y^{2} + x y) d x + x^{2} d y = 0

Solve Bernoulli ODE:

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

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

Popular Examples

20y^{''}+11y^'-3y=0

20 y^{^{''}} + 11 y^{^{'}} - 3 y = 0

d/(d{y)}(({z})/(({x)^2+{y}^2+{z}^2)^{3/2}})

\frac{d}{d y} (\frac{z}{( x ^{2} + y ^{2} + z ^{2} ) ^{\frac{3}{2}}})

limit as x approaches 1 of (x^2-3x+2)/(x^3-1)

x \to 1 lim (\frac{x ^{2} - 3 x + 2}{x ^{3} - 1})

integral of 3/(x^2sqrt(25-x^2))

\int \frac{3}{x ^{2} 25 - x ^{2}} d x

f (x) = \frac{2}{x + 2}

Frequently Asked Questions (FAQ)

What is the solution for (y^2+xy)dx+x^2dy=0 ?
The solution for (y^2+xy)dx+x^2dy=0 is y=(2x)/(-1+2c_{1)x^2}