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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

dy=x(2ydx-xdy),y(2)=3

d y = x (2 y d x - x d y), y (2) = 3

(dy)/(dx)=y(4x^2+5)

\frac{d y}{d x} = y (4 x^{2} + 5)

x^'=(x)^{4(1)+2}(ln(t)+(0+2)te^t)

x^{^{'}} = (x)^{4 (1) + 2} (ln (t) + (0 + 2) t e^{t})

x/y dx+y/x dy=0

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

(3x-5)dx+(y+b)dy=0

(3 x - 5) d x + (y + b) d y = 0