y(1+x^2)y^'-x(1+y^2)=0,y(0)=sqrt(3)

Lösung

y (1 + x^{2}) y^{^{'}} - x (1 + y^{2}) = 0, y (0) = 3

y = 4 x^{2} + 3

Schritte zur Lösung

y (1 + x^{2}) y^{'} (x) - x (1 + y^{2}) = 0

Solve separable ODE:

y = 4 x^{2} + 3

y = 4 x^{2} + 3

x \to - 8 lim (12 x + 11)

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

n = 1 \sum \infty z^{n - 2}

100 y^{^{''}} - 80 y^{^{'}} + 20 y = 0, y (3) = 3, y^{^{'}} (3) = 8

l c m lo g_{100} (x), (0, 24)