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Beliebt Rechnen >

(xdy)/(dx)=y^2-4

Lösung

\frac{x d y}{d x} = y^{2} - 4

Lösung

y = \frac{2 e ^{4 c_{1}}}{x ^{4} - e ^{4 c_{1}}} + \frac{2 x ^{4}}{x ^{4} - e ^{4 c_{1}}}

Schritte zur Lösung

\frac{x d y}{d x} = y^{2} - 4

Solve separable ODE:

y = \frac{2 e ^{4 c_{1}}}{x ^{4} - e ^{4 c_{1}}} + \frac{2 x ^{4}}{x ^{4} - e ^{4 c_{1}}}

y = \frac{2 e ^{4 c_{1}}}{x ^{4} - e ^{4 c_{1}}} + \frac{2 x ^{4}}{x ^{4} - e ^{4 c_{1}}}

Graph

Beliebte Beispiele

(dy)/(dx)=(y/x+1/4)^2

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

tangent y=(f(x))^2,\at x=0

t an g e n t y = (f (x))^{2}, at x = 0

integral of (2x^2+8x-8)/(x-4)

\int \frac{2 x ^{2} + 8 x - 8}{x - 4} d x

derivative f(x)=((x-2)^5)/(16)

d er i v a t i v e f (x) = \frac{( x - 2 ) ^{5}}{16}

limit as x approaches infinity of (2x^3-5x+4)/(x^2+3x-4)

x \to \infty lim (\frac{2 x ^{3} - 5 x + 4}{x ^{2} + 3 x - 4})