Question: For each differential equation verify by differentiation and substitution that the given function is a solution a. y' = y2 + 4 (| t |

For each differential equation verify by differentiation and substitution that the given function is a solution
a. y' = y2 + 4 (| t | < π/4); y = 2 tan 2t
b. y' = 1/t y + t (t > 0): y = 3t + t2

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a If y 2 tan2t then y 4sec 2 2t Substituting ... 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

Document Format (1 attachment)

947-M-L-A-L-S (4494).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

In problems, plot a slop field for each differential equation. Use the method of separation fo variables or an integrating factor to find a particular solution of different equation that satisfies...

An ODE may sometimes have an additional solution that cannot be obtained from the general solution and is then called a singular solution. The ODE y2 xy + y = 0 is of the kind. Show by...

An ODE may sometimes have an additional solution that cannot be obtained from the general solution and is then called a singular solution. The ODE y' 2 - xy' + y = 0 is of this kind. Show by...

Verification for each differential equation, verify by differentiation and substitution that the given function is a solution \f

Verification For each differential equation, verify by differen - tiation and substitution that the given function is a solution. y ' = y 2 + 4 ( | t | 0...

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Suppose the initial height from which a rubber ball drops is 100 in. The rebound heights to the nearest inch are 80, 64, 51, 41, . . . a. What is the rebound ratio for this ball? b. What is the...

Professor Pederson moved into his current home 5 years ago. He has always made his mortgage payments on time. His original loan was for $175,000 and he had a 3.875% nominal interest rate for a...

14.79 You are a real estate broker who wants to compare property values in Glen Cove and Roslyn (which are located approximately 8 miles apart). In order to do so, you will analyze the data in GC and...

What is economic statecraft? Does it offer viable alternatives to the use of military force? Examine the case of U.S. sanctions on Iran, for example.

A pitcher of buttermilk initially at 25C is to be cooled by setting it on the front porch, where the temperature is 0C. Suppose that the temperature of the buttermilk has dropped to 15C after 20 min....

When sugar is dissolved in water, the amount A that remains undissolved after t minutes satisfies the differential equation dA/dt = -kA (k > 0). If 25% of the sugar dissolves after 1 min, how long...

A spacecraft is in free fall toward the surface of the moon at a speed of 1000 mph (mi/h). Its retrorockets, when fired, provide a constant deceleration of 20,000 mi/h 2 . At what height above the...

Problem 9-18 Bond Price Changes (LO3, CFA7) 6 U.S. Treasury STRIPS, close of business February 15, 2019: 6 points Maturity Feb 2020 Feb 2021 Feb 2022 Price 97.123 94.770 92.424 Maturity Feb 2023 Feb...

Ramon Rodriquez has just signed a $6 million contract. The contract calls for a payment of $1.2 million today, $1.5 million one year from now, $1.5 million two years from now, and $1.8 million three...

As CFO, you are looking at the whole-year income statement and year-end balance sheet numbers of 2021 and 2022. You find that sales, costs, and total assets of 2022 were 16% higher than 2021. The...