(dy)/(dx)y=13^x+e^2

Lösung

\frac{d y}{d x} y = 1 3^{x} + e^{2}

y = \frac{2 \cdot 1 3 ^{x} + 2 e ^{2} ln ( 13 ) x + c _{1}}{ln ( 13 )}, y = - \frac{2 \cdot 1 3 ^{x} + 2 e ^{2} ln ( 13 ) x + c _{1}}{ln ( 13 )}

Schritte zur Lösung

\frac{d y}{d x} y = 1 3^{x} + e^{2}

Solve separable ODE:

y = \frac{2 \cdot 1 3 ^{x} + 2 e ^{2} ln ( 13 ) x + c _{1}}{ln ( 13 )}, y = - \frac{2 \cdot 1 3 ^{x} + 2 e ^{2} ln ( 13 ) x + c _{1}}{ln ( 13 )}

y = \frac{2 \cdot 1 3 ^{x} + 2 e ^{2} ln ( 13 ) x + c _{1}}{ln ( 13 )}, y = - \frac{2 \cdot 1 3 ^{x} + 2 e ^{2} ln ( 13 ) x + c _{1}}{ln ( 13 )}

\int_{- \frac{π}{6}}^{0} 4 sec^{3} (x) d x

h \to 0 lim (\frac{e ^{h} - 1}{h})

\frac{\partial}{\partial w} (ln (2 w^{3} - 7 y + 3 x y^{2}))

p a r i t y f (x) = cot^{3} (sin (x))

x \to 0 lim (\frac{tan ( 3 x )}{sin ( 7 x )})