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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{\frac{1}{2} s i n (x^{2} + 2 x) + c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{1}{2} s i n (x^{2} + 2 x) + c_{1}} - 1

y = e^{\frac{1}{2} s i n (x^{2} + 2 x) + c_{1}} - 1

Graph

Beliebte Beispiele

y^'=9*t*e^{-y},y(0)=3

y^{^{'}} = 9 \cdot t \cdot e^{- y}, y (0) = 3

y^'=csc(y)cos(x/2),y(3pi)=(3pi)/2

y^{^{'}} = csc (y) cos (\frac{x}{2}), y (3 π) = \frac{3 π}{2}

(dy)/(dx)tan(y)=x

\frac{d y}{d x} tan (y) = x

(dx)/(dy)=sqrt(yx),y(1)=7

\frac{d x}{d y} = y x, y (1) = 7

3y(dy)/(dx)+1/y =0

3 y \frac{d y}{d x} + \frac{1}{y} = 0