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Beliebt Rechnen >

(dy)/(dx)=4e^{x-y},y(0)=ln(6)

Lösung

\frac{d y}{d x} = 4 e^{x - y}, y (0) = ln (6)

Lösung

y = ln (4 e^{x} + 2)

Schritte zur Lösung

\frac{d y}{d x} = 4 e^{x - y}

Solve separable ODE:

y = ln (4 e^{x} + 2)

y = ln (4 e^{x} + 2)

Graph

Beliebte Beispiele

y^'=-2x(y^2-3y+2),y(0)=3

y^{^{'}} = - 2 x (y^{2} - 3 y + 2), y (0) = 3

y^{^{'}} = \frac{3 y}{x + 6}

x^{^{'}} = - x + 1

4yx(dx)/(dy)=x^2+1

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

(x^2-3)y^'=x(y^2+16),y(2)=4

(x^{2} - 3) y^{^{'}} = x (y^{2} + 16), y (2) = 4