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

Lösung

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

y = x 1 + c_{1} x^{2}, y = - x 1 + c_{1} x^{2}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = x 1 + c_{1} x^{2}, y = - x 1 + c_{1} x^{2}

y = x 1 + c_{1} x^{2}, y = - x 1 + c_{1} x^{2}

y^{^{'''}} - 6 y^{^{''}} = 3 - cos (x)

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

y^{^{'}} = 1 0^{x + y}

x \to 7 lim (2 x - 7)

\frac{d}{d x} (6 x^{4} - 7 x^{3} + 2 x + 2)