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Beliebt Rechnen >

(dy)/(dx)=e^{2x-3y}

Lösung

\frac{d y}{d x} = e^{2 x - 3 y}

Lösung

y = \frac{ln ( \frac{3}{2} e ^{2 x} + c _{1} )}{3}

Schritte zur Lösung

\frac{d y}{d x} = e^{2 x - 3 y}

Solve separable ODE:

y = \frac{ln ( \frac{3}{2} e ^{2 x} + c _{1} )}{3}

y = \frac{ln ( \frac{3}{2} e ^{2 x} + c _{1} )}{3}

Graph

Beliebte Beispiele

t^2y^{''}-8ty^'+8y=0

t^{2} y^{^{''}} - 8 t y^{^{'}} + 8 y = 0

derivative sin(t^2)

d er i v a t i v e sin (t^{2})

integral of te^{-i2pift}

\int t e^{- i 2 π f t} d t

derivative f(x)=(3x-4)

d er i v a t i v e f (x) = (3 x - 4)

(y^2+1)dx=y(sec^2(x))dy

(y^{2} + 1) d x = y (sec^{2} (x)) d y