What is the order and degree of the following differential

Assignment Help Mathematics
Reference no: EM131150031

1. What is the order and degree of the following differential equation?

1290_1.png

(a) Order 2, degree 1 (b) order 1, degree 2 (c) order 2, degree 2  (d) None of these

2. Which of the following equations are exact ?

(1) (4x+3y+1) dx + (3x+2y +1) dy = 0

(2) x(x2+3y2) dx+ y(y2+3x2) dy= 0

(3) y (2xy+ ex) dx =   dy

(4) x2y dx - ( x3- y3) dy =0

(a) 1,2,4 (b) 1,2  (c) 2,3,4 (d) all of these

3. What is the value of the constant λ such that ( 2xey + 3y2)dx/dy + ( 3x2 + λey ) = 0 is exact?

(a)  λ = 2  (b) λ = 3  (c) λ=1/2 h  (d) None of these

4.  Classify the following differential equation

X2 ( y+1) dx + y2 ( x-1) dy=0

(a)  Linear but not separable

(b) Separable but not linear

(c) Neither separable nor linear

(d) None of these

5. What is the integrating factor of the following differential equation

Y(x2y2+2 ) dx + x( 2- 2x2y2) dy = 0

(a) 1/x3y3     (b)  3x2y2  (c)1/3x3y3  (d) None of these

6.  Describe the type of the following differential equation

P3 - p(y+3) +x = 0

(a) Solvable for p (b) solvable for x (c) solvable for y (d) None of these

7. What is the general solution of the following differential equation

Sin px cos y = cos px sin y + p

(a)  Y= cx + sin c (b) y = cx + sin-1 c (c) y = cx - sin-1c (d) None of these

8. What is the wronskian of  ex, e-x, cosh x ?

(a)ex  (b) e-x  (c) 0 (d) None of these


Attachment:- Questions of differential equation.pdf

Reference no: EM131150031

Questions Cloud

What is the equivalent annual savings from the purchase : What is the equivalent annual savings from the purchase if Gluon uses straight-line depreciation? Assume the new machine will have no salvage value.
Price the bonds from the above table with monthly coupon : Price the bonds from the above table with monthly coupon payments.
Price the bonds from the above table with quarterly coupon : Price the bonds from the above table with quarterly coupon payments.
Recognize potential security breaches and computer crimes : Appraise the individual and organizational consequences of the use of information technology, and recognize potential security breaches and computer crimes
What is the order and degree of the following differential : What is the order and degree of the following differential equation. Which of the following equations are exact. What is the integrating factor of the following differential equation
Write a two page report about the microorganism and disease : Pick a microbial disease of one of the human body systems and write a two page (double spaced) report about the microorganism and the disease.
Complete the swot analysis part of the assignment : Complete the SWOT Analysis part of the Assignment template provided using your CSR Tool Belt for customer building strategies. You will complete the opportunities and weaknesses areas only
How your topic sentence supports your thesis statement : Explain how your topic sentence supports your thesis statement. Explain how the quoted and paraphrased material supports your claims and/or adds credibility to your writing.
What is the internal growth rate : last years lakesha's lounge furniture corporation had an ROA of 10% and a dividend payout ratio of 25%. What is the internal growth rate?

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd