(x^2-y^2)dx+xydy=0

Lösung

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

y = x - 2 ln (x) + c_{1}, y = - x - 2 ln (x) + c_{1}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = x - 2 ln (x) + c_{1}, y = - x - 2 ln (x) + c_{1}

y = x - 2 ln (x) + c_{1}, y = - x - 2 ln (x) + c_{1}

\int_{7}^{13} \frac{y}{y ^{2} - 3 y - 4} d y

f^{^{'''}} (x) = 6 (x^{- 2})

in v erse l a pl a ce \frac{s + 10}{s ^{2} - s - 2}

\int_{2}^{4} (\frac{2}{x} + 3 x)^{2} d x

\int e^{x} - e^{2 x} d x