(dy)/(dx)=2y-x

Lösung

\frac{d y}{d x} = 2 y - x

y = \frac{2 x + 1}{4} + c_{1} e^{2 x}

Schritte zur Lösung

\frac{d y}{d x} = 2 y - x

Solve linear ODE:

y = \frac{2 x + 1}{4} + c_{1} e^{2 x}

y = \frac{2 x + 1}{4} + c_{1} e^{2 x}

\frac{d}{d x} ((3 x^{3} + 4) (x^{4} - 2 x))

x \to 0 lim (\frac{x ^{2} ln ( x )}{x})

\frac{\partial}{\partial x} ((y - 2) (arctan (x)))

\frac{d}{d x} (\frac{csc ( x )}{2 ^{x}})

x \to 0 lim (\frac{x ^{2} - 2 x}{x})