(x+e^y)dy-dx=0

Lösung

(x + e^{y}) d y - d x = 0

y = W (\frac{x}{e ^{c_{1}}}) + c_{1}

Schritte zur Lösung

(x + e^{y}) d y - d x = 0

Solve exact ODE:

y = W (\frac{x}{e ^{c_{1}}}) + c_{1}

y = W (\frac{x}{e ^{c_{1}}}) + c_{1}

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

x \to 5 lim (3 x^{2} - x - 2)

x y^{^{'}} + y = x^{4} y^{4}

d er i v a t i v e tan (e^{4 t}) + e^{t a n (4 t)}

y = (2 y^{4} + 2 x) y^{^{'}}