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Beliebt Rechnen >

y^'=((x^2-5))/(y^2),y(0)=3

Lösung

y^{^{'}} = \frac{( x ^{2} - 5 )}{y ^{2}}, y (0) = 3

Lösung

y = 3 x^{3} - 15 x + 27

Schritte zur Lösung

y^{'} (x) = \frac{( x ^{2} - 5 )}{y ^{2}}

Solve separable ODE:

y = 3 x^{3} - 15 x + 27

y = 3 x^{3} - 15 x + 27

Graph

Beliebte Beispiele

x^{^{'}} = b^{2} + x

(dy)/(dx)=0.04-(3y)/(880)

\frac{d y}{d x} = 0.04 - \frac{3 y}{880}

(dy)/(dx)y=12(3x+1)^{2/3}(4x-2)^{5/4}

\frac{d y}{d x} y = 12 (3 x + 1)^{\frac{2}{3}} (4 x - 2)^{\frac{5}{4}}

y^{^{'}} = 1 - 4 y

(dv)/(dx)=-0.002v-11

\frac{d v}{d x} = - 0.002 v - 11