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Beliebt Rechnen >

y^'=2y-1,y(0)= 3/2

Lösung

y^{^{'}} = 2 y - 1, y (0) = \frac{3}{2}

Lösung

y = e^{2 t} + \frac{1}{2}

Schritte zur Lösung

y^{'} (t) = 2 y - 1

Solve separable ODE:

y = e^{2 t} + \frac{1}{2}

y = e^{2 t} + \frac{1}{2}

Graph

Beliebte Beispiele

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

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

y^'=5t^3y^{1/5}

y^{^{'}} = 5 t^{3} y^{\frac{1}{5}}

y^'=(3x^2+4x+2)/(2(y-1))

y^{^{'}} = \frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}

\frac{d y}{d x} + 2 y = 6

y^'(x)=(1+3x^2)/(3y^2-6y),y(0)=1

y^{^{'}} (x) = \frac{1 + 3 x ^{2}}{3 y ^{2} - 6 y}, y (0) = 1