y^'=7sin(7x)y

Lösung

y^{^{'}} = 7 sin (7 x) y

y = e^{- c o s (7 x) + c_{1}}

Schritte zur Lösung

y^{'} (x) = 7 sin (7 x) y

Solve separable ODE:

y = e^{- c o s (7 x) + c_{1}}

y = e^{- c o s (7 x) + c_{1}}

\frac{y ^{^{'}} - ( y )}{( x + y ^{2} )} = 0

(x^{4} + 5 x^{4} y^{2}) d x + e^{x^{5}} y d y = 0

y^{^{'}} + \frac{1}{5} y = y^{- 3}

\frac{d x}{d t} x = e^{t}

f^{^{'}} (x) = 4 x^{3} (f (x))^{2}