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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dt)-0.5y+2=0

\frac{d y}{d t} - 0.5 y + 2 = 0

2 y^{^{'}} = 3 y^{\frac{1}{3}}

y-yy^'+2y=cos(8)

y - y y^{^{'}} + 2 y = cos (8)

(t^2-24t+95)y^'=y

(t^{2} - 24 t + 95) y^{^{'}} = y

derivative of x^4+y^4= derivative of 16

\frac{d}{d x} (x^{4} + y^{4}) = \frac{d}{d x} (16)