6/(sqrt(y))dx=(e^{3x}+1)dy

Lösung

\frac{6}{y} d x = (e^{3 x} + 1) d y

y = 3 \frac{108 c _{1} x + 324 x ^{2} - 216 x ln ( e ^{3 x} + 1 ) - 36 c _{1} ln ( e ^{3 x} + 1 ) + 36 ln ^{2} ( e ^{3 x} + 1 ) + 9 c _{1}^{2}}{4}

Schritte zur Lösung

\frac{6}{y} d x = (e^{3 x} + 1) d y

Solve separable ODE:

y = 3 \frac{108 c _{1} x + 324 x ^{2} - 216 x ln ( e ^{3 x} + 1 ) - 36 c _{1} ln ( e ^{3 x} + 1 ) + 36 ln ^{2} ( e ^{3 x} + 1 ) + 9 c _{1}^{2}}{4}

y = 3 \frac{108 c _{1} x + 324 x ^{2} - 216 x ln ( e ^{3 x} + 1 ) - 36 c _{1} ln ( e ^{3 x} + 1 ) + 36 ln ^{2} ( e ^{3 x} + 1 ) + 9 c _{1}^{2}}{4}

f (x) = 1 + x^{2}

l a pl a ce t r an s f or m sin (3 t + \frac{π}{4})

d er i v a t i v e e^{x} - x^{8}

\int cos (2 x + 5) d x

\frac{\partial}{\partial x} (cos (4 x y))