Solve all the questions accurately

Reference no: EM13939108

can you make sure to solve all the questions accurately as it is a very important a1. (a) By making the substitution u = e

x and then using partial fractions, evaluate Z
dx
e
x + 1.
(b) By making a suitable substitution, evaluate Z
cos θ dθ
sin3
θ + sin θ.

2. A differential equation of the form
dy
dx + p(x)y = q(x)y
n
is called a Bernoulli differential equation.

(a) Show that if y is the solution of the above Bernoulli differential equation and u = y
1-n, then u satisfies
the linear differential equation
du
dx + (1 - n)p(x)u = (1 - n)q(x).
(b) Hence solve the differential equation
x
2
y
0 + 2xy = y
3
.for this semesterSolve the differential equation
y
00 - 4y
0 + 13y = 6e
2x
cos 3x
subject to the initial conditions y(0) = 3 and y
0
(0) = -8.
4. Solve the system of differential equations

x
0
y
0
-
-11 15
-30 31 x
y
= e
t

18
30

Reference no: EM13939108

Questions Cloud

Describe events that must occur to generate action potential : Describe the events that must occur to generate an action potential. Indicate how the ionic gates are controlled, explain why the action potential is an all-or-none phenomenon.

Which of the following correctly invokes the function f : which of the following correctly invokes the function F, assuming N is an integer variable?

The final velocity and the displacement : A force of 250N acts on a mass of 50Kg for 8 seconds. If the mass is initially at rest, determine the acceleration, the final velocity and the displacement.

What is the basic topic you plan to write about : Criteria of the assignment: TOPIC: What is the basic topic you plan to write about? (Be sure this topic falls within the parameters of the assignment.) STATEMENT OF PURPOSE: Why are you particularly interested or qualified to write this paper? Inc..

Solve all the questions accurately : can you make sure to solve all the questions accurately as it is a very important a1. (a) By making the substitution u = e x and then using partial fractions, evaluate Z

Describe how neurotransmitter is involved in that disease : Identify a genetic homeostatic imbalance (disease/disorder) of the nervous system involving neurotransmitters. Describe the symptoms of that disease. Describe how the neurotransmitter is involved in that disease.

In physics told that gravity pulls up down : In physics we were told that gravity pulls up down and that a chair for instance pulls up and that the forces balance each other out buy how can a chair have a force i find this a little confusing. Can any1 help?

Program to declare variables in c : What is the value of the following (Boolean) expression?

Compute materials price and usage variances for each patient : Compute the materials price and usage variances for each type of patient. Compute the labor rate and efficiency variances.

User Account

All Pages