(dy)/(dx)+8y=e^{7x}

Lösung

\frac{d y}{d x} + 8 y = e^{7 x}

y = \frac{e ^{7 x}}{15} + \frac{c _{1}}{e ^{8 x}}

Schritte zur Lösung

\frac{d y}{d x} + 8 y = e^{7 x}

Solve linear ODE:

y = \frac{e ^{7 x}}{15} + \frac{c _{1}}{e ^{8 x}}

y = \frac{e ^{7 x}}{15} + \frac{c _{1}}{e ^{8 x}}

\frac{d}{d x} (e^{x} (11 x^{2} - 22 x + 22))

im pl i c i t \frac{d y}{d x}, y^{4} = 4 x y

x \to 0 lim (\frac{e ^{3 x} - 1}{2 x})

\frac{d}{d y} (\frac{x}{( x ^{2} + y ^{2} + z ^{2} ) ^{2}})

\int - 3 csc (x) cot (x) d x