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Beliebt Rechnen >

yy^'=(y^2-9)/(x^2+4)

Lösung

y y^{^{'}} = \frac{y ^{2} - 9}{x ^{2} + 4}

Lösung

y = e^{a r c t a n (\frac{x}{2}) + c_{1}} + 9, y = - e^{a r c t a n (\frac{x}{2}) + c_{1}} + 9

Schritte zur Lösung

y y^{'} (x) = \frac{y ^{2} - 9}{x ^{2} + 4}

Solve separable ODE:

y = e^{a r c t a n (\frac{x}{2}) + c_{1}} + 9, y = - e^{a r c t a n (\frac{x}{2}) + c_{1}} + 9

y = e^{a r c t a n (\frac{x}{2}) + c_{1}} + 9, y = - e^{a r c t a n (\frac{x}{2}) + c_{1}} + 9

Graph

Beliebte Beispiele

y(dy)/(dx)=3x(y^2+5)^5

y \frac{d y}{d x} = 3 x (y^{2} + 5)^{5}

dy=(y+9)/(x+8)dx

d y = \frac{y + 9}{x + 8} d x

cos^3(y)(dy)/(dx)=xcsc(y),y(0)= pi/3

cos^{3} (y) \frac{d y}{d x} = x csc (y), y (0) = \frac{π}{3}

xy*(dy)/(dx)=y-1

x y \cdot \frac{d y}{d x} = y - 1

\frac{d v}{d t} = 4 - 8 v