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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} = x (y - 1) - 2 y + 2

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = x (y - 1) - 2 y + 2

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'=y(7(t^2-1))/(t(t-3)(t-4)),y(7)=3

y^{^{'}} = y \frac{7 ( t ^{2} - 1 )}{t ( t - 3 ) ( t - 4 )}, y (7) = 3

y^'=25+y^2,y(0)=5tan(5x)

y^{^{'}} = 25 + y^{2}, y (0) = 5 tan (5 x)

(dy)/(dx)=(x^3y^3)/(x+3)

\frac{d y}{d x} = \frac{x ^{3} y ^{3}}{x + 3}

y^{^{'}} - 2 x y = 3 x

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

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