$\displaystyle \frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}$ = $\displaystyle {\left({y}+{3}\right)}\cdot{\cos{{\left({x}\right)}}}$

is a separable differential equation.

Separate the variables (there may be more than one way)

Preview Question 6 Part 1 of 4   dy = Preview Question 6 Part 2 of 4   dx

and then integrate to get g(y) = f(x) + C

Preview Question 6 Part 3 of 4   = Preview Question 6 Part 4 of 4   + C



Type sin(x) for $\displaystyle {\sin{{\left({x}\right)}}}$ , sqrt(x+2) for $\displaystyle \sqrt{{{x}+{2}}}$, and so on.

Use x^2 to square x, x^3 to cube x, and so on.