Question: Solve the initial value problem dydt + 2 y = 2 0 sin ( t ) + 1 5 cos ( t ) with y

Solve the initial value problem
dydt+2y=20sin(t)+15cos(t)
with y(0)=6.
y=.
Reminder: To find the anti-derivative of eusin(u), the trick is to do integration by parts twice.

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 Solve the initial value problem da + 2 = e-*, y(0) = 0 and then find y (1) Oe-e2 C C +Find the area of the region that lies inside 1' = 1 + COS 9 all: Lola 37r Classify the polar curve: T= 3-4 sin...

Q:

thank you. Solve the initial value problem dy do + y = cos 0, 0 > 0, y(1) = 1 - sin O+ O A. IV= 030 - sin 0 + x0 ( B. y 0>0 sing + 10 sing - CO. VF 1020

Q:

Question 18 (4 points) Listen Identify the intervals on which the following function is decreasing: y= (-00, 0 ) Oy = 23 is never decreasing O (-00, 00) O (0, 00)Question 13 (4 points) ( Listen ds...

Q:

Solve the initial value problem. 2 dy (cos x) + y sin x = 5x cos x, dx The solution is y(x) = - y (5F) = 6 - 53m3 144

Q:

Solve the initial value problem. 02 dy do - 30y =0' sec 0 tan 0; 0> 0, y(x) =0 93 O A. y= - - 03 030 COS ( O B. y= +0-030 COS ( 93 O C. y= +03, 030 COS O 93 O D. y= - 02, 0>0 COS

Q:

Matlab Solve the initial value problem dy/dt = t - e^-t/y + e^y, y (1.5) = 0.5 a. Use ode45() to find the approximate values of the solution at t = 0, 1, 1.8, 2.1 and also plot the solution. b. Now...

Q:

Solve the initial value problem. JI 2 = - 3 csc = 0;y = 2 dx The solution is y = (Type an exact answer, using it as needed.)If1 Evaluate the integral J 2ms 5t sin 5t dt. 0 If1 I 2mm\"t sin 51m = D U...

Q:

1. Solve the initial value problem, dy = (* + xy )e, y (0) =1 With h = 0.1 %3D dx Use (i) Modified Euler's method to find y (0.1) (ii) Euler's method to find y (0.2). 2. Solve the initial value...

Q:

1. Solve the initial value problem, dy = (* + xy )e, y (0) =1 With h = 0.1 %3D dx Use (i) Modified Euler's method to find y (0.1) (ii) Euler's method to find y (0.2). 2. Solve the initial value...

Q:

1. Solve each of the following second order homogeneous linear equations. If no initial conditions are given, then find the general solution. If initial conditions are given, then solve the initial...

Q:

Praveen is a good athlete but for some time he is feeling low and his performance is deteriorating. Suggest any two ways to improve his performance

Q:

Use l'Hpital's rule to find the limit. lim 1-400s 0 sin 30 O 1 8

Q:

29. Saturn has rings, and Neptune is windy or Jupiter is massive. Translate the following statements into symbolic form using capital letters to represent affi rmative English statements.

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...