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

Lösung

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

y = 32 arcsin (\frac{4}{3} x - 1) - 2 - 16 x^{2} + 24 x + c_{1}, y = - 32 arcsin (\frac{4}{3} x - 1) - 2 - 16 x^{2} + 24 x + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 32 arcsin (\frac{4}{3} x - 1) - 2 - 16 x^{2} + 24 x + c_{1}, y = - 32 arcsin (\frac{4}{3} x - 1) - 2 - 16 x^{2} + 24 x + c_{1}

y = 32 arcsin (\frac{4}{3} x - 1) - 2 - 16 x^{2} + 24 x + c_{1}, y = - 32 arcsin (\frac{4}{3} x - 1) - 2 - 16 x^{2} + 24 x + c_{1}

\frac{d}{d x} (1.4 x^{5} - 2.5 x^{2} + 6.7)

d er i v a t i v e x^{2} + 4

d er i v a t i v e y = (4 x + 3)^{10}

a re a x = y^{2} - 2, x = y

\int \frac{7 t - 6}{t + 1} d t