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Beliebt Rechnen >

(2y-3x)(dy)/(dx)=3y-4x

Lösung

(2 y - 3 x) \frac{d y}{d x} = 3 y - 4 x

Lösung

y = \frac{3 x + x ^{2} + c _{1}}{2}, y = \frac{3 x - x ^{2} + c _{1}}{2}

Schritte zur Lösung

(2 y - 3 x) \frac{d y}{d x} = 3 y - 4 x

Solve exact ODE:

y = \frac{3 x + x ^{2} + c _{1}}{2}, y = \frac{3 x - x ^{2} + c _{1}}{2}

y = \frac{3 x + x ^{2} + c _{1}}{2}, y = \frac{3 x - x ^{2} + c _{1}}{2}

Graph

Beliebte Beispiele

integral from-infinity to 0 of e^{-|x|}

\int_{- \infty}^{0} e^{- ∣ x ∣} d x

y^{''}+2y^'+y=x^{-6}e^{-x}

y^{^{''}} + 2 y^{^{'}} + y = x^{- 6} e^{- x}

integral of (x+2)/(x^2+3x-4)

\int \frac{x + 2}{x ^{2} + 3 x - 4} d x

steigung (2)(-3.1)

s l o p e (2) (- 3.1)

(dx)/(dt)=sin(2pi(t+3)),x(3)=1

\frac{d x}{d t} = sin (2 π (t + 3)), x (3) = 1