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Beliebt Rechnen >

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

Lösung

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

Lösung

y = ln (sec (x) + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = ln (sec (x) + c_{1})

y = ln (sec (x) + c_{1})

Graph

Beliebte Beispiele

(dy)/(dx)=(17xy)/((ln(y))^6)

\frac{d y}{d x} = \frac{17 x y}{( ln ( y ) ) ^{6}}

y^'=2y+1,y(0)=1

y^{^{'}} = 2 y + 1, y (0) = 1

y^'+3y=7,y(0)=1

y^{^{'}} + 3 y = 7, y (0) = 1

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

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

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