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Beliebt Rechnen >

e^{2x}(2cos(y)dx-sin(y)dy)=0,y(0)=0

Lösung

e^{2 x} (2 cos (y) d x - sin (y) d y) = 0, y (0) = 0

Lösung

y = arccos (e^{- 2 x - c_{1}}) + 2 πn, y = - arccos (e^{- 2 x - c_{1}}) + 2 πn

Schritte zur Lösung

e^{2 x} (2 cos (y) d x - sin (y) d y) = 0

Solve separable ODE:

y = arccos (e^{- 2 x - c_{1}}) + 2 πn, y = - arccos (e^{- 2 x - c_{1}}) + 2 πn

y = arccos (e^{- 2 x - c_{1}}) + 2 πn, y = - arccos (e^{- 2 x - c_{1}}) + 2 πn

Graph

Beliebte Beispiele

sinh(x)dx+y^{-1}cosh(x)dy=0

sinh (x) d x + y^{- 1} cosh (x) d y = 0

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

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

(dy)/(dx)=(-x)/(y-3)

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

(dy)/(dx)=7xsqrt(y),y\ne 0

\frac{d y}{d x} = 7 x y, y \neq = 0

(dy)/(dx)+x/y =0,y=sqrt(1-x^2)

\frac{d y}{d x} + \frac{x}{y} = 0, y = 1 - x^{2}