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Beliebt Rechnen >

(dy)/(dx)=e^{x-2y}+1/(e^{2y)}

Lösung

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

Lösung

y = \frac{ln ( 2 e ^{x} + 2 x + c _{1} )}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{ln ( 2 e ^{x} + 2 x + c _{1} )}{2}

y = \frac{ln ( 2 e ^{x} + 2 x + c _{1} )}{2}

Graph

Beliebte Beispiele

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

\frac{d y}{y} + (\frac{1}{x} + 1) d x = 0

(dy)/(dx)=-6x^2y+9x^2

\frac{d y}{d x} = - 6 x^{2} y + 9 x^{2}

y^'tan(x)=a+y,y(pi/3)=a

y^{^{'}} tan (x) = a + y, y (\frac{π}{3}) = a

y^'+x^3y=3x^3,y(0)=8

y^{^{'}} + x^{3} y = 3 x^{3}, y (0) = 8

(dP)/(dt)=0.062P

\frac{d P}{d t} = 0.062 P