Question: In Problems a-b, first find the general solution (involving a constant C) for the given differential equation. Then find the particular solution that satisfies the

In Problems a-b, first find the general solution (involving a constant C) for the given differential equation. Then find the particular solution that satisfies the indicated condition.
a. dy/dx = x2 + 1; y = 1 at x = 1
b. dy/dx = x-3 + 2; y = 3 at x = 1

Step by Step Solution

★★★★★

3.49 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a dydx x 2 1 dy x 2 1 dx dy x 2 1 ... 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)

955-M-C-D-E (1910).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Find the general solution to f + f = 2.

Find the general solution to the following complex ordinary differential equations. Verify that, in these cases, the real and imaginary parts of a complex solution are not real solutions. (a) u' + iu...

Find the general solution to the linear system du/dt = Au for the following incomplete coefficient matrices: (a) (b) (c) (d) (e) (f) (g) (h) 3 2t) 9 -4 (1 3) 4 -5 2 425 013 110 1030 1100 0110 1001...

First find the general solution (involving a constant C) for the given differential equation. Then find the particular solution that satisfies the indicated condition. ds $5 dt 1112 +51-5;s 76 at t=0...

3 Systems of differential equations In Sections 3.8-3.10 we will reduce the problern of finding all solutions of (1) to the much simpler algebraic problern of solving simultaneous linear equations of...

1. (5 points) Find the general solution to the following differential equation. Find the particular solution that satisfies the given initial condition: dy dx +y(x) = 2, y(0) = 0 2. (5 points) Find...

Please answer 10, 16, 19, 22, 37, 38 please!! 5.3 Linear Nonhomogeneous Equations 443 SECTION 5.3 EXERCISES Review Questions 1. Explain how to find the general solution of the nonhomogeneous 24. y' +...

Find the general solution of the following differential equations, and then find the particular solution which satisfies the stated extra condition. (a) Differential Equation dx x+2 (b) (x + xy) = y...

please help (5 points) An equation in the form y' + p(x)y = q(x)y" with n 9L- 0, 1 is called a Bernoulli equation and it can be solved using the substitution 0 = y\"" which transforms the Bernoulli...

Student: Sterling White Instructor: David Scot Assignment: 12.3 Using Integration to solve Date: 11/21/2 Course: Math1325 Calculus for Business differentiated Equ 1. Find the general solution of the...

A taxi company is interested in the relationship between mileage, measured in miles per gallon, and the age of cars in its fleet. The 12 fleet cars are the same make and size and are in good...

Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple random sample of 12 small cars were subjected to a head-on collision...

The town planning department of a Sydney council with a population of N = 40,000 registered voters is asked by the mayor to conduct a survey to measure community attitudes to

Explain what is more important: PMO process, tools, or project delivery acceleration.

Find all solutions of the equation correct to two decimal places. a. X4 - x = 1 b. tan x = 1 - x2

Use graphs to determine which of the functions and g(x) = x3 /10 is eventually larger (that is, larger when is very large).

6. Assume Madison Co. sold the equipment in #5 for $37,500 and had accumulated depreciation in the amount of $20,000. Record the sale. 7. Land was purchased costing $98,000; a building was removed at...

To help Joshua and Chole Bailey, whod like to retire while theyre still relatively youngin about 20 years. Both have promising careers, and both make good money. As a result, theyre willing to put...

Must be done in Excel. Show all work, I need to see what cells or Excel functions have been used to get the answers. Problem 2 1 2 3 You are the financial adviser to three individuals, a Young person...