Question
It is easy to check that for any value of c, the function y = ce 21
is a solution of the equation
y'+ 2y = e .
Find the value of c for which the solution satisfies the initial condition y(- 2) = 4.
C =
Question Help: Video D Post to forum
Subrnit Question
Expand
Transcribed Image Text

It is easy to check that for any value of c, the function y = ce 21 is a solution of the equation y'+ 2y = e . Find the value of c for which the solution satisfies the initial condition y(- 2) = 4. C = Question Help: Video D Post to forum Subrnit Question

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Differential Equations

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the sum: - 4+ - 6+ - 8+ ... + – 10 Answer:

A: Given, The series -4 + (-6) + (-8) + ... +(-10).   To find: The sum -4 + (-6) + (-8) + ... +(-10).

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)   

Q: 1. Express as a product a. cos 5t + cos 6t b. cos x + 2x

A: We have to express as a product  (a)  Cos 5t + Cos 6t We know that  CosC + CosD = 2Cos((C+D)/2)Cos((...

Q: Solve for x: a(x - 2) = b(2x + 3).

A: Click to see the answer

Q: The radius of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change ...

A: Click to see the answer

Q: By sketching the graph and using integration, find the area of the region bounded by, p*y² = x°(2P –...

A: P4y2=x5(2P-x) To Find: Sketching the graph and using integration, find the area of the region.

Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D

A:  Since you have asked multiple questions in single request  so we  will be answering only first ques...

Q: Use any method to find the relative extrema of the function f. f (x) = In(11+a4). Use the notation (...

A: Click to see the answer

Q: The Fibonacci sequence is defined as an=1,1,2,3,5,8,13,....  Where a1=a2=1 & an=an-1+an-2 Prove ...

A: Given: The Fibonacci sequence is defined as an=1,1,2,3,5,8,13,.....where, a1=a2=1 & an=an-1+an-2...

Q: See attached,  I wanted to see if I did them correctly.  Thanks.

A: Given that dydx=10-2y. Let y=f(x) be a particular solution to the differential equation with initial...

Q: 6) Find f(x) for f(x) = sec(vx2 + 1).

A: We are solving the first question and for the next question post the question again and alsomention ...

Q: A committee is to consist of a chair, two hagglers, and three do nothing's. The committee is formed ...

A: Click to see the answer

Q: Consider the following. P(x) = 4x4 − 3x3 − 29x2 + 53x + 15 Find all the zeros of the polynomial fu...

A: We have to solve the equation  4x4 -3x3 -29x2 +53x +15 = 0

Q: 3z+5z2 Find the residues of f(z) = (2z²–4)3*

A: To Find: The residue of fz=3z+5z22z2-43 Concept: Residue at pole:Let fz has a pole at z0 of order m,...

Q: Critical points   g(h)=( (sin h) ((cos h)^2)))   - ( (cot h)/ h ) + 11

A: The expression g(h)=sinhcos2h-cothh+11. We have to find the critical point for this given expression...

Q: See attached these are practice problems

A: Click to see the answer

Q: Solve the inequality x2< x + 12 and graph the solution set on a real number line. Express the sol...

A: Given,          x2<x+2

Q: Find the zeros of the polynomial function and state the multiplicity of each. f(x) = - 3(x- 1) (x+ 2...

A: Click to see the answer

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

A: Consider the constant function. fx=1 Clearly, f''2=0. But the graph of constant function is a line a...

Q: 5- Please I want solution of this question. Thanks

A: Click to see the answer

Q: #52 only

A: Click to see the answer

Q: 10. Determine an equation for the function represented by this graph. Explain your choice. 20 -20 20...

A: Click to see the answer

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to...

A: Click to see the answer

Q: Evaluate the given integral

A: Click to see the answer

Q: Find an equation of the tangent line to the curve at each given point. x = t? - 4, y =t? – 2t at (0,...

A: Click to see the answer

Q: answer A AND B but have answers rounded

A: For this problem, we can find d and v at any instant by using given equation.

Q: 1b.

A: Given: The graph of y=V't as To find:  The values of c along x-axis such that V'c=110∫010V'tdt

Q: A skydiver jumps from an airplane. Suppose that the distance she falls during the first t seconds be...

A: The distance she falls during the first t seconds before her parachute opens is s(t) = 976 (0.835t– ...

Q: Graph the given quadratic function f(x) = 5 - (x + 2)2. Give the function’s domain and range.

A: Given information: fx=5-x+22