Question: If a differentiable function y(x) satisfies y' = |x|, y(-1) = 2, then y(x) = ________________.

If a differentiable function y(x) satisfies y' = |x|, y(-1) = 2, then y(x) = ________________.

Step by Step Solution

★★★★★

3.36 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

y x y1 2 The initial condition y1 2 implies 2 12 ... View full answer

blur-text-image
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 (2 attachments)

PDF file Icon

1596_6062c74ceaa3a_674487.pdf

180 KBs PDF File

Word file Icon

1596_6062c74ceaa3a_674487.docx

120 KBs Word File

Students Have Also Explored These Related First Course Differential Equations Questions!

Q:

If is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = xg(x) (b) y = x/g(x) (c) y = g(x) /x

Q:

Let f: S Y be a differentiable function on an open convex set S X. Then for every x1, x2 S, where A = {y Y: y = Df[] (x1 - x2) for some [x1, x2]}. Exercise 4.45 is illustrated in figure 4.8. The...

Q:

A differentiable function f on a convex, open set S in n is convex if and only if for every x0; x S. f is strictly convex if and only if for every x x0 S. (32)

Q:

Sketch the graph of a differentiable function y = (x) through the point (1, 1) if (1) = 0 and a. (x) > 0 for x 1; b. (x) 0 for x > 1; c. (x) > 0 for x ...

Q:

4. If f(x, y) is a differentiable function of x and y, fx (1, 1) = 12, fx (2, 1) = 2, fy(1, 1) = 3 and fy(2, 1) = 5. Let g(u,v) = f(u v,u +v+4), find gu (2, 1) step by step. (5 points)

Q:

1:11 all 5G D. Domain: {-4,-2, 4); Range: -1, 1, 3); not a function Question 9 Not yet answered Marked out of 1.00 p Flag question Identify the domain and range of the relation, and determine whether...

Q:

What is a left-end behavior model of the function f (a) = ? Verify your result. If limit notation is needed in your response, use the following example as a guide: lim (a + 2) should be written as...

Q:

The questions are indicated in the pictures '\\_- W} Show me your solution... .. Find tn; zero of the following Linear Functions algebraically. 1. y = -3x + 5 > 2. y = x --4 3. y = em: 9: + 4 ' 4, y...

Q:

- 10 Given the parent function f(x) = x, the function g(x) = (x 1) 2 is the result of a shift of f(x) (1) 1 unit left and 2 units down (2) 1 unit left and 2 units up (3) 1 unit right and 2 units down...

Q:

Given the function f(x) = 3x 5, which one of the following is the formula for the inverse function f-(x)? (x) f-(x) = Of-(x) f-1(x) = (x) = = = = 1 == 2 10 -x + 1|1 +x. or|co 3x - 5 | 1 3x + 5 3x + 5

Q:

(a) Let z be any complex number, and let C denote the unit circle in the w plane. Then use that contour in expression (5), Sec. 60, for the coefficients in a Laurent series, adapted to such series...

Q:

For the truss structure Determine the governing equilibrium equation. Pf = KffU; + Pro Consider the applied loads and a distributed load wy = 5kN/m on member AC in the direction shown. Member AB is...

Q:

In Problems 9.18, 9.19, and 9.20, what is your statistical decision if the alternative hypothesis, H1, is m 50?

Q:

14.11 Derive Eq. (14.17) from Eqs. (14.1) and (14.2), and hence express the parameters {????c0, ????j, ????2} as functions of the general location model parameters = (, , ). Consider the impact of...

Q:

Solve the given system of differential equations by systematic elimination. dx/dt = -y + t dy/dt = x t

Q:

Solve the given system of differential equations by systematic elimination. dx/dt 4y = 1 dy/dt + x = 2

Q:

Solve the given system of differential equations by systematic elimination. (D 2 + 5)- = 2y = 0 -2x + (D 2 + 2)y = 0

Q:

Goodwin Technologies, a relatively young company, has been wildly successful but has yet to pay a dividend. An analyst forecasts that Goodwin is likely to pay its first dividend three years from now....

Q:

Assume that a 3 -year Treasury security yields 4.50%. Also assume that the real risk-free rate (r) is 0.75%, and inflation is expected to be 2.25% annually for the next 3 years. In addition to...

Q:

Question 1 0 ( 1 point ) You have been asked to forecast Orwell's additional funds needed ( AFN ) for next year. Assuming the firm is operating at only 5 0 % of capacity and using the data in the...