Question: Find k such that x ( t ) = 6 t is a solution of the differential equation d x d t = k x

Find k such that x(t)=6t is a solution of the differential equation dxdt=kx.
k=
Find k such that x(t)=6t is a solution of the differential

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

Q:

dy 1. Solve the differential equation by an appropriate substitution x- +6y-xy = 0. dx 2. Show that the following differential equation is homogeneous and solve it by an appropriate substitution dy X...

Q:

Answer these Name: Date: Period FOA Final Exam Review $2 State the operation used to solve the following 5) What is the solution to the equation below? equation. x + 9 = 25 8x + 4 = 3x -11 A)...

Q:

This question is concerned with the solution of the differential equation 4 d 2 x d t 2 + 4 x = 8 e 1 1 t ( 1 ) Find the complementary function ( x as a function of t ) for the differential equation....

Q:

x^2 y'' + x y' - 4y = x^3 (x0) general solution of differential equation Find.

Q:

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Q:

\fM(x, y) = yelTy + x - My = ely + 2xyely = ezzy(1 + 2ry) N(x, y) = brelry - NI = belry + 2brye2ry = e2ry(b + 2bry) Since equation is exact when My = Nx , given equation is exact when b = 1. Solve...

Q:

Direction: Answer the exercise and I provide some example or guide on how you do it. Imaginary Roots of Auxiliary Equations ye = Ci cos 2x + Czsin 2x So we have distinct real root (3), repeated real...

Q:

Janagan Kandasamy Assignment Assignment 3 due 10/05/2016 at 11:59pm EDT Z ENRG 213 Fall 2016 1. (1 point) Use the \"mixed partials\" check to see if the following differential equation is exact. If...

Q:

Solution: (a) The concentration of the solution initially is 50 =0.05 kg/ L 1000 (b) Let s(t) denotes the number of kg of salt in the tank after t minutes. Hence, s'(t) would denote the rate at which...

Q:

Need help with screenshots 1 through 12. However, note that there are not 12 total problems! Only 10. 1, 2, 5, 6, 7, 8, 9, 10, 11, and 12. If you need any more information that what is already...

Q:

Why is it important to integrate career development programs with other programs in organizations (e.g., performance appraisal, training, selection, compensation)? Offer some suggestions for how this...

Q:

Sanaponic, Inc. will pay a dividend of $6 for each of the next 3 years, $8 for each of the years 4-7, and $10 for the years 8-10. Thereafter starting in year 11, the company will pay a constant...

Q:

ndicate whether each of the following actions represents foreign direct investment or foreign portfolio investment. Foreign Direct Investment Foreign Portfolio Investment Buying bonds issued by a...

Q:

Read the comprehension case and answer the questions that follow. BACKGROUND: Auditors need to use a top-down approach to identify controls to test. This approach starts at the top of an organization...

Q:

Recommend the key methods to improve service productivity.

Q:

Know the characteristics of world-class service organizations and be familiar with the four levels of service performance.

Q:

Understand the difference between productivity, efficiency, and effectiveness.