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Beliebt Rechnen >

y^'=-(x-7)/(49y-343),y(8)=0

Lösung

y^{^{'}} = - \frac{x - 7}{49 y - 343}, y (8) = 0

Lösung

y = \frac{49 - - x ^{2} + 14 x + 2353}{7}

Schritte zur Lösung

y^{'} (x) = - \frac{x - 7}{49 y - 343}

Solve separable ODE:

y = \frac{49 - - x ^{2} + 14 x + 2353}{7}

y = \frac{49 - - x ^{2} + 14 x + 2353}{7}

Graph

Beliebte Beispiele

(dt)/(dy)=e^{6t+3y},y(0)=16

\frac{d t}{d y} = e^{6 t + 3 y}, y (0) = 16

y^'=(xe^x-e^x)/(2x^2y),y(1)=sqrt(e)

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

y^{^{'}} = - 10 t y^{2}

y^{^{'}} = - 3 (2 y + 4)

(2+x^{10})(dy}{dx}=\frac{x^9)/y

(2 + x^{10}) \frac{d y}{d x} = \frac{x ^{9}}{y}