f(x)= 1/(x^7)(df)/(dx)

Lösung

f (x) = \frac{1}{x ^{7}} \frac{df}{d x}

f (x) = e^{\frac{x ^{8}}{8} + c_{1}}

Schritte zur Lösung

f = \frac{1}{x ^{7}} \frac{df}{d x}

Solve separable ODE:

f (x) = e^{\frac{x ^{8}}{8} + c_{1}}

f (x) = e^{\frac{x ^{8}}{8} + c_{1}}

x \cdot y^{^{'}} = 3 y

y^{^{'}} = t^{7} y

\frac{d y}{d x} - 9 y = 0

\frac{d N}{d t} + N = Nt \cdot e^{t + 2}

y^{^{'}} = 2^{x - y}, y (- 3) = - 5