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Beliebt Rechnen >

(dy)/(dx)=(15x^2-6x+2)/((y+2))

Lösung

\frac{d y}{d x} = \frac{15 x ^{2} - 6 x + 2}{( y + 2 )}

Lösung

y = \frac{- 4 + 16 - 4 ( - c _{1} - 4 x + 6 x ^{2} - 10 x ^{3} )}{2}, y = \frac{- 4 - 16 - 4 ( - c _{1} - 4 x + 6 x ^{2} - 10 x ^{3} )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{15 x ^{2} - 6 x + 2}{( y + 2 )}

Solve separable ODE:

y = \frac{- 4 + 16 - 4 ( - c _{1} - 4 x + 6 x ^{2} - 10 x ^{3} )}{2}, y = \frac{- 4 - 16 - 4 ( - c _{1} - 4 x + 6 x ^{2} - 10 x ^{3} )}{2}

y = \frac{- 4 + 16 - 4 ( - c _{1} - 4 x + 6 x ^{2} - 10 x ^{3} )}{2}, y = \frac{- 4 - 16 - 4 ( - c _{1} - 4 x + 6 x ^{2} - 10 x ^{3} )}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=(1+x)/(xy^6),y(1)=5

\frac{d y}{d x} = \frac{1 + x}{x y ^{6}}, y (1) = 5

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

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

y^'=cos(x)sec(y)

y^{^{'}} = cos (x) sec (y)

y^'(x)=(ycos(x))/(1+3y^3),y(0)=1

y^{^{'}} (x) = \frac{y cos ( x )}{1 + 3 y ^{3}}, y (0) = 1

(8+x)(dy)/(dx)=5y

(8 + x) \frac{d y}{d x} = 5 y