x^'=x*sin(t)

Lösung

x^{^{'}} = x \cdot sin (t)

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

Schritte zur Lösung

x^{'} (t) = x \cdot sin (t)

Solve separable ODE:

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

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

d x - 7 x y d y = 2 y d y

\frac{d y}{d t} = 2 t \cdot y^{2}

y^{^{'}} + 8 y = 64

\frac{d y}{d x} = \frac{3 x ^{2} + 5 x}{4 y ^{3}}

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