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Monotonicity in an Interval

What is the d...

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What is the differentiation of f(x)=y-2÷(3-x).

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f : R \to R

be a differentiable function with

f (0) = 0

y = f (x)

satisfies the differential equation

\frac{d y}{d x} = (2 + 5 y) (5 y - 2)

, then the value of

lim x \to - \infty f (x)

k

. Then what is the value of

5 k ?

f : R \to R

be a differentiable function with

f (0) = 0.

y = f (x)

satisfies the differential equation

\frac{d y}{d x} = (2 + 5 y) (5 y - 2)

then the value of

lim x \to - \infty f (x)

f : R \to R

be a differentiable function with

f (0) = 0.

y = f (x)

satisfies the differential equation

\frac{d y}{d x} = (2 + 5 y) (5 y - 2)

then the value of

lim x \to - \infty f (x)

Q. The degree of the differential equation

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

Q. The function

y = f (x)

is the solution of the differential equation

\frac{d y}{d x} + \frac{x y}{x^{2} - 1} = \frac{x^{4} + 2}{\sqrt{1 - x^{2}}}

(- 1, 1)

f (0)

\int_{- \frac{\sqrt{3}}{2}}^{\sqrt{3 / 2}} f (x) d x

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