Question: Verify that the indicated function y = p(x) is an explicit solution of the given first-order differential equation. 2y=y3 cos(x); y = (1 -

Verify that the indicated function y = p(x) is an explicit solution

Verify that the indicated function y = p(x) is an explicit solution of the given first-order differential equation. 2y=y3 cos(x); y = (1 - sin(x))-1/2 When y = (1-sin(x))-1/2, 2y= Thus, in terms of x, y cos(x) = Since the left and right hand sides of the differential equation are equal when (1 - sin(x))-1/2 is substituted for y, y = (1-sin(x))-1/2 is a solution.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To verify that the given function y 1sinx12 is an explicit solution of the firstorder ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Draw the free-body diagram of the beam supported at A by a fixed support and at B by a roller. Explain the significance of each force on the diagram. Given: w = 40lb/ft a = 3 ft b = 4 ft θ = 30...

Required information Exercise 11-3 (Algo) Depreciation methods; partial periods [LO11-2] [The following information applies to the questions displayed below] On October 1, 2024, the Allegheny...

Calculate the average density of the following astronomical body: Jupiter. PJupiter = Where does the value fit among those listed in the table below? Look up the density of a typical rock, such as...

Gems Co. uses the indirect method to prepare its statement of cash flows. The following comparative statement of financial position for 2021 and 2022 are presented: At December 31 2022 2021 Property,...

The Dolan Corporation, a maker of small engines, determines that in 2012 the demand curve for its product is P = 2,000 - 50Q Where P is the price (in dollars) of an engine and Q is the number of...

4. Briefly explain why the two amounts are different.

Does the normal probability plot given in Figure 9.14, which resulted from fitting the model ???? = ????0 + ????1????1 + ????2????2 + ????, support the normality assumption? Explain. 99.9 99 95 90 80...

McDonald's lo 5 Corp. McDonald's conducts operations worldwide and is managed in three primary geographic segments: U.S.; Europe; and Asia/Pacific. Middle East and Africa (APMEA). A hybrid...

Assume that Dunst Consulting has previously incorporated by issuing 200 shares of $2 par value common shares to Dunst in exchange for the balance in Dunst, capital as follows: Dunst decides to raise...

The beta of Company Stock is 1.25. The company just paid a dividend of $0.85 and the dividends are expected to grow at 5.7 percent per year. The expected return on the market is 9% and Treasure bills...

REMEMBER ME- LIVING LEGACIES Imagine you created business from a website that you can use as a memorial for your loved ones that passed away. Management and Operations Including yourself, how many...

If most new products are minor modifications of existing products, why do firms continue with high-risk, high-cost projects?

Examine the rules in /etc/snort/rules/ and find the duplicate rule. What is the sid: number for the duplicate rule? (Hint: answer is the higher of the two SID numbers.) what command would i use to...

In other words, according to your informed thinking on what you have observed, in what ways was the leader's behavior impactful or was not effective, and why do you say so?

Assume that the initial stock price is So = $ 1 0 0 . You would like to hedge a long position of 2 0 call contracts ( 1 0 0 shares per contract ) with 2 5 0 days to maturity anda strike price of $ 1...

Delta, United, and American Airlines announced purchases of planes on July 1 8 ( 7 / 1 8 ) , February 1 2 ( 2 / 1 2 ) , and October 7 ( 1 0 / 7 ) , respectively. \ table [ [ Delta , United,American ]...

What types of inventory issues Starbucks might reflect upon at the end of each year? The mission of Starbucks is to inspire and nurture the human spiritone person, one cup, and one neighborhood at a...

Solve the given differential equation by finding, as in Example 4, an appropriate integrating factor. (2y 2 + 3x) dx + 2xy dy = 0

Use a numerical solver and Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = e -y , y(0) = 0; y(0.5)

Use a numerical solver and Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = x 2 + y 2 , y(0) = 1; y(0.5)

177 Soil loss during rainfall. Phosphorus used in soil fertilizers can contaminate freshwater sources during rainfall runoff. Consequently, it is important for water quality engineers to estimate the...

175 Rating funny cartoons. Newspaper cartoons, although designed to be funny, often invoke hostility, pain, or aggression in readers, especially when those cartoons depict violence. A study was...

173 Socialization of graduate students. Teaching Sociology (July 1995) developed a model for the professional socialization of graduate students working toward a Ph.D. in sociology. One of the...