(dy)/(dx)=cos(x)

Lösung

\frac{d y}{d x} = cos (x)

y = sin (x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = cos (x)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = cos (x)

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int cos (x) d x

\int cos (x) d x = sin (x) + c_{1}

y = sin (x) + c_{1}

(2 y + 2 t - 7) d t + (4 y + 2 t - 1) d y = 0, y (- 1) = 2

d er i v a t i v e f (x) = 2 x - 3

d er i v a t i v e f (x) = (1 + 3 x^{4})^{2} + 3 x^{3}

y^{^{''}} + y^{^{'}} + 2 y = 0, y (0) = 2, y^{^{'}} (0) = 0

in v erse l a pl a ce \frac{8}{s ^{2} + 1}