(dy)/(dx)=((10+15x))/(xy^2),y(1)=3

Lösung

\frac{d y}{d x} = \frac{( 10 + 15 x )}{x y ^{2}}, y (1) = 3

y = 3 30 ln (x) + 45 x - 18

Schritte zur Lösung

\frac{d y}{d x} = \frac{( 10 + 15 x )}{x y ^{2}}

Solve separable ODE:

y = 3 30 ln (x) + 45 x - 18

y = 3 30 ln (x) + 45 x - 18

\frac{\partial}{\partial x} (x \cdot y)

\int \frac{3 x ^{2}}{1 + x ^{3}} d x

\frac{\partial}{\partial x} (16 - x^{2} - 4 y)

x \to \infty lim (\frac{2}{x !})

l c m \frac{( csc ^{2} ( x ) )}{4}, 4 sin^{2} (x)