application of derivatives, Mathematics

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Example on abels theorem, Without solving, find out the Wronskian of two so...

Without solving, find out the Wronskian of two solutions to the subsequent differential equation. t 4 y'' - 2t 3 y' - t 8 y = 0 Solution : First thing that we want to d

Trig, without using a calculator how would you know is cos theta(20) is gre...

without using a calculator how would you know is cos theta(20) is greater than cos theta (35)

Arithmetic/geometric sequences and binomial expansion, find s10 for the ari...

find s10 for the arithmetic sequenxe inwhich a1=5 and a10=68

Abels theorem, If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) ...

If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Ordinary differential equations, Give me the power series solution of Halm'...

Give me the power series solution of Halm''s differential equation

Chain rule, Chain Rule :   If f(x) and g(x) are both differentiable func...

Chain Rule :   If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x).  Proof We will s

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