Show that an implicit solution of 2x sin 2 y dx - (x 2 + 10) cos
Question:
Show that an implicit solution of
2x sin2 y dx - (x2 + 10) cos y dy = 0
is given by ln(x2 + 10) 1 csc y = c. Find the constant solutions, if any, that were lost in the solution of the differential equation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
Differentiating ln x 2 10 csc y c we get Or 2x sin 2 y ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution y (x) in each case. Use a graphing utility to obtain...
-
(a) Find an implicit solution of the initial-value problem dy/dx = (y 2 - x 2 )/xy, y(1) = -2. (b) Find an explicit solution of the problem in part (a) and give the largest interval I over which the...
-
(a) Find an implicit solution of the IVP (2y + 2)dy - (4x 3 + 6x)dx = 0, y(0) = -3. (b) Use part (a) to nd an explicit solution y = -(x) of the IVP. (c) Consider your answer to part (b) as a function...
-
Professor Quark opens his own company, Electronic Tutorial Services, and completes the following transactions in June: 6/1 Quark invests 24,000 into the business. 6/3 Purchased 2,100 of equipment on...
-
In preparation for the December 31, 2015, year-end, Carolanne was reviewing the records of Holmes Ltd. She discovered a balance of $32,000 in accounts receivable that related to an account received...
-
The following profit payoff table was presented in Problem 1. Suppose that the decision maker obtained the probability assessments P(s1) - 0.65, P(s2) - 0.15, and P(s3) = 0.20. SELF test Use the...
-
Show that $\operatorname{Var}(\hat{\mathbf{y}})=\sigma^{2} \mathbf{H}$.
-
How would you describe the strategic values at the Department of the Interior in general and the Minerals Management Service in particular? What changes would you recommend at MMS? In your opinion,...
-
Matt loves cupcakes (C) and hates bananas (B). However, Matt is always willing to eat one more banana as long as he gets to eat two more cupcakes. Carefully draw two indifference curves for Matt and...
-
An investment with initial value zero can go up or down $10,000 per month with equal likelihood. (a) What is probability that the investment will reach $1,000,000 without reaching $250,000? (b) What...
-
Express the solution of the given initial-value problem in terms of an integral defined function. x dy/dx + 2y = xe x 2 , y(1) = 3
-
Often a radical change in the form of the solution of a differential equation corresponds to a very small change in either the initial condition or the equation itself. Find an explicit solution of...
-
Do investors hold well-diversified portfolios?
-
What would be the gains from additional supply made available (at the same price) from each of the growers? How much of a premium would you be willing to pay for each additional box and how many...
-
ABC Corporation distributes equipment (market value $10,000, basis $19,000) and inventory (market value $70,000, basis $40,000) to its sole shareholder. Prior to the two distributions, ABC has $1...
-
Ryanbay Enterprises uses a standard cost system and prepared the following budget for May when 21,000 machine hours of activity were anticipated: variable overhead, $60,900; fixed overhead: $357,000....
-
Net operating income equals: Multiple choice question. (dollar sales - dollar sales to break even) unit contribution margin. unit sales unit contribution margin. dollar sales - dollar sales to...
-
For this activity, explore the cost associate and the economic order quantity formula that determines a company's inventory reorder point. Find an article in an MRO-related journal in the Hunt...
-
a. Compare Internet core routers with home access routers in terms of functionality. 27a1.) ________ have access points. a. Home access routers b. Internet core routers c. Both A and B d. Neither A...
-
Michelles trust is subject to 3.8% surtax on the lesser of the trusts net investment income or the excess of the trusts adjusted gross income over the $12,400 threshold (the highest trust tax rate)....
-
In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + 16y = f(t), y(0) = 0, y'(0) = 1, where Appendix III...
-
Use Definition 7.1.1 to find {f (t)}. f(t) = te 4t Definition 7.1.1 Let f be a function defined for t = 0. Then the integral
-
Solve the differential equation in Problem 13 subject to y(0) = 0, y'(0) = 0, y(L) = 0, y'(L) = 0. In this case the beam is embedded at both ends. See Figure 7.5.5. wo -L- 'y
-
Consider a Carnot heat engine placed between a finite thermal energy source and an infinite thermal energy sink. Since the temperature of the thermal source is constantly changing, then so must the...
-
A complex pair of eigenvalues are shown on the s-plane below. For this pair of eigenvalues, Wn ? W = ? damping ratio = ? time constant = ? X 2 -1 0 X -2 If r(t) is a step with magnitude 10, Use...
-
F m J, r Motor k = k T b R www C
Study smarter with the SolutionInn App