Variable separable form:
Ay' = y
Bf(x) dx + g(y) dy = 0 (separable)
Cy² = x
DNot solvable
Answer & Solution
Correct answer: B. f(x) dx + g(y) dy = 0 (separable)
Equation dy/dx = f(x)g(y) is variable separable: dy/g(y) = f(x) dx. Integrate both sides. Most basic DE technique.
Related questions
Reducing $(2x-1)\dfrac{d^2y}{dx^2}-2\dfrac{dy}{dx}=0$ with $y=2$ and $\dfrac{dy}{dx}=3$ atA village grows at a rate proportional to its population. It was 20,000 in 1999 and 25,000For $\dfrac{d^2y}{dx^2}+3\dfrac{dy}{dx}+2y=6e^{x}+ in x$, the particular integral is:The complementary function of $\dfrac{d^2y}{dx^2}+3\dfrac{dy}{dx}+2y=6e^{x}+ in x$ is:Solutions of a differential equation form a set that is a:The power counted for the degree must be a whole number that is:An equation whose highest derivative is the third has order:The study at this stage is confined to equations that are: