(dy)/(dx)= 1/7 sqrt(y)cos^2(sqrt(y))

Lösung

\frac{d y}{d x} = \frac{1}{7} y cos^{2} (y)

y = arctan^{2} (\frac{x + c _{1}}{14}) + 2 πn arctan (\frac{x + c _{1}}{14}) + π^{2} n^{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{7} y cos^{2} (y)

Solve separable ODE:

y = arctan^{2} (\frac{x + c _{1}}{14}) + 2 πn arctan (\frac{x + c _{1}}{14}) + π^{2} n^{2}

y = arctan^{2} (\frac{x + c _{1}}{14}) + 2 πn arctan (\frac{x + c _{1}}{14}) + π^{2} n^{2}

(y sin (x) + x y cos (x)) d x + (x sin (x) + 1) d y = 0

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

n \to \infty lim (ln (n))

t an g e n t x^{2} + \frac{4}{x} - 10, at x = 8

s l o p e (- 3, 5), (- 7, - 9)