Answer:
1.6
Step-by-step explanation:
Answer:
The particular solution is
.
Step-by-step explanation:
The given differential equation is

It can be written as

Use variable separable method to solve the above equation.

Integrate both sides.

.... (1)
It is given that y(1)=0. It means y=0 at x=1.



The value of constant is 0.
Substitute C=0 in equation (1) to find The required equation.
Taking sin both sides.
Therefore the particular solution is
.
3) will be a horizontal line just forever stretching across the 7 y value never straying
4) will be a vertical line just forever stretching across the 1 x value never straying
5 & 6 are the ones I don't understand
The proof of this can be get with a slight modification. It can be prove that every bounded is convergent, If (an) is an increasing and bounded sequence, then limn → ∞an = sup{an:n∈N} and if (an) is a decreasing and bounded sequence, then limn→∞an = inf{an:n∈N}.