(dy)/(dx)=(4sec(y))/((x-6)^2)

Lösung

\frac{d y}{d x} = \frac{4 sec ( y )}{( x - 6 ) ^{2}}

y = arcsin (- \frac{4}{x - 6} + c_{1}) + 2 πn, y = π + arcsin (\frac{4}{x - 6} - c_{1}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = \frac{4 sec ( y )}{( x - 6 ) ^{2}}

Solve separable ODE:

y = arcsin (- \frac{4}{x - 6} + c_{1}) + 2 πn, y = π + arcsin (\frac{4}{x - 6} - c_{1}) + 2 πn

y = arcsin (- \frac{4}{x - 6} + c_{1}) + 2 πn, y = π + arcsin (\frac{4}{x - 6} - c_{1}) + 2 πn

\frac{\partial}{\partial x} (x^{2} + x e^{2 y} - y)

\frac{d x}{d y} = 4 (x^{2} + 1)

x \to \infty lim (\frac{4 x ^{3} + 8}{4 x ^{3} + 64 x ^{6} + 3})

\frac{d}{d x} (\frac{1 - 2 x}{1 + 2 x})

x \to 1 lim (2 x + 2)