(dy)/(dx)-7=\sqrt[3]{y-7x+9}

Lösung

\frac{d y}{d x} - 7 = 3 y - 7 x + 9

y = \frac{2 2 x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} + 3 c _{1}^{2} x}{3 3} + 7 x - 9, y = - \frac{2 2 x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} + 3 c _{1}^{2} x}{3 3} + 7 x - 9

Schritte zur Lösung

\frac{d y}{d x} - 7 = 3 y - 7 x + 9

Solve using substitution:

y = \frac{2 2 x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} + 3 c _{1}^{2} x}{3 3} + 7 x - 9, y = - \frac{2 2 x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} + 3 c _{1}^{2} x}{3 3} + 7 x - 9

y = \frac{2 2 x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} + 3 c _{1}^{2} x}{3 3} + 7 x - 9, y = - \frac{2 2 x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} + 3 c _{1}^{2} x}{3 3} + 7 x - 9

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