Integrate on both sides
i)
y(t=0)=1
=> C=1
-----(1)
ii)
y(t=0)=-1
-----------(2)
MATH-182 Calculus II Written Homework Name: Section 4.1 p. 363/365 # 40 Solve the following initial-value...
Math 155. Homework 5. Section 4.1 1. Use the graph of the rate of change to sketch a graph of the function, starting from the given initial condition (a) Start from z(0) 1 dz dt (b) Start from (0) 10 dw dt 10 -20 30 Math 155. Homework 5. Section 4.1 1. Use the graph of the rate of change to sketch a graph of the function, starting from the given initial condition (a) Start from z(0) 1 dz dt...
Math 112 Written Homework: Inverse Functions Student Name: Instructor: Math 112 Section: sentences. All graphs should be drawn accurately on this sheet, and be fully labeled Earlier in the semester, we found that the cost function for producing x pairs of a particular type of skates was given by: C(x) 752.75 +42.54x. What is the inverse of this function? What does it represent? Pick one ordered pair on the graph of the inverse function, and describe what it tells you...
solve all please Homework II By using the method of power Series, solve the initial value problem given by loca+1)y't xy't zy=0 58 = S( = 1. at the ordinary point 36=0 the following system Solve y'+ 2xl-3y = - etsint x-44 +0= ēt cost. verify that y=x+1 is a particule solution of (E): scyl- 2(x+by+2y=0 using the reduction order method. method the general solutions of (E)
Name 1. Solve the following initial value problems. 1 (a) (10 pts.) Lecturer dy -- 2y - x cos Ex, y(2) - 12. dy 1 (b) (10 pts.) (In 2) = 0. - xe,
Courses LMS Integration Documentation Homework 4 EMTH 250-Advanced Math II-Spring 2019 Q1 0 solutions submitted (max: Unlimited) 12.3 Use of Fourier Series to Solve Wave PDE Find and sketch or graph (as in Fig. 288 in Sec. 12.3) the deflection u(x, t) of a vibrating string of length π, extending from x 0 to x T, and c2 T/p 4 starting with velocity zero and deflection: sin3r Make use of the following formulas. Remeber that the initial deflection is f(x),...
advanced math homework help before final 5. Consider the following initial value problems: x" + 16x = -20e-2 x(0) = 1 2'0) = 0 (a) (4 points) Solve for X(s), the Laplace transform of r(t). (b) (10 points) Solve for e(t) by inverting X(s). (c) (3 points) Let yt) = 2 cos(4t) - 7 sin(4t) (This is one of the pieces to your answer above). Fill in the right-hand sides to the initial value problem that y solves y (0)...
B1: (24 marks) Solve the following initial value problems. When it is possible, express the solutions explicitly in terms of the independent variable. a) (t? + 1) 44 +3ty = 6t, y(0) = -1 b) * = y(1 – y), y(0) = 1/2 c) dy + +y = ty?, y(1) = 1 - 4y = 3e2t, y(0) = -2, y'(0) = 0
Problem 3. Given the initial conditions, y(0) from t- 0 to 4: and y (0 0, solve the following initial-value problem d2 dt Obtain your solution with (a) Euler's method and (b) the fourth-order RK method. In both cases, use a step size of 0.1. Plot both solutions on the same graph along with the exact solution y- cos(3t). Note: show the hand calculations for t-0.1 and 0.2, for remaining work use the MATLAB files provided in the lectures Problem...
Student Name: Instructor Math 112 Unit 2 Written Homework 4: Polynomial Functions Math 112 Section:_ Directions Show all work, and answer each question that is asked Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. Apple iPhone sales (in millions of units) between 2007 and 2015 can be closely modeled by the polynomial function y f(t)--0.4442t3 +7.0873t2 -0.2478t +3.9307, where t is time in years since 2007. Graph this...
I need help with my Physics II (Non-Calculus) homework. How do I solve for each and what would the answers be? Thank you! 0.5 Problems Due January 28, 2019 In order to obtain good marks you solutions must include the following: 1. Identify yourself in order to obtain credit, that is put your name in the upper left hand corner of the page 2. Write legibly - If I have to spend time trying to figure out what you are...