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Beliebt Rechnen >

y^'=e^{2y}sin(x),y(0)=0

Lösung

y^{^{'}} = e^{2 y} sin (x), y (0) = 0

Lösung

y = - \frac{ln ( 2 cos ( x ) - 1 )}{2}

Schritte zur Lösung

y^{'} (x) = e^{2 y} sin (x)

Solve separable ODE:

y = - \frac{ln ( 2 cos ( x ) - 1 )}{2}

y = - \frac{ln ( 2 cos ( x ) - 1 )}{2}

Graph

Beliebte Beispiele

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

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

2xdx+sin(y)dy=0

2 x d x + sin (y) d y = 0

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

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

y^'=2sqrt(y+1)cos(x)

y^{^{'}} = 2 y + 1 cos (x)

(dy}{dx}=\frac{20x^4)/y ,y>0,x>0

\frac{d y}{d x} = \frac{20 x ^{4}}{y}, y > 0, x > 0