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13 Nov 2019
Differential equation
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Aa Math 222: Diff. EqnsCommon Exam 3 2. (15 points) Solve the initial-value problen for the Euler differential equastion: November 29, 2017 and describe the behavior of solutions as z â More
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Beverley Smith
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Related questions
3. (3 points each) Consider the initial value problem y" -y" 3y +5y 0 with y(0) 0, y(0) 3, y"(0) 3. (a) Write the third-order differential equation as a system of first-order differential equations, i.e. write in the form uAu where u (ui, u2, uz)7 andy, (b) Find the set of real-valued fundamental solutions and the real-valued general (c) Describe the behavior as t-o for each of the solutions in the fundamental set (d) Find a particular solution y(t) satisfying the given initial conditions. solution to the first-order system in part (a) of solutions. Hint: remember that u-y from your substitution in part (a).
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3. (3 points each) Consider the initial value problem y" -y" 3y +5y 0 with y(0) 0, y(0) 3, y"(0) 3. (a) Write the third-order differential equation as a system of first-order differential equations, i.e. write in the form uAu where u (ui, u2, uz)7 andy, (b) Find the set of real-valued fundamental solutions and the real-valued general (c) Describe the behavior as t-o for each of the solutions in the fundamental set (d) Find a particular solution y(t) satisfying the given initial conditions. solution to the first-order system in part (a) of solutions. Hint: remember that u-y from your substitution in part (a).
bluemosquito281
MATH. 241 Exam 3 Fall, 2017 NAME Show your work for full credit and simplify answers when possible. Place your answer in the blank. 1. a. Find the differential dy for the function y= Sehr + 4x,-3x2+4 b. Use a differential to estimate the change in y =f(x)s 2x4 as x changes from 2 to 2.02. c. Find the linear approximation L) to fox) Vr +6 at o 3 L(x) = d. Use your linear approximation in c to approximate the value of 897 (2.97) 2. Suppose x, y and s are differentiable functions of t that are related by the equation s2 = 3x +y2. If dt = 2 and dy = 4, then find dt when x 8 and y-5. ds dt
Please solve A1 and A2
f Facebook x \ T Course: 201709 MATH 20 x M204_F17_HwD.pdf x e - o X E â e A Secure | https://coursespaces.uvic.ca/pluginfile.php/1221699/mod_resource/content/1/M204_F17_HwD.pdf & * : # Apps Facebook I ISTOR E Putlocker E ExtraTorrent.cc The VI Malting Barley Grain. Ba My Institution - Black @ Garden Level Suite in E uvIC MATH 200 M Inbox (161) - eristacco M204_F17_HwD.pdf 1/1 C + + own original work. Part marks will be deducted from Solutions which are mes steps are skipped, so show your work! You may reach 30 points in this assignm A1:(5 points] Solve the initial value problem y8) â y" = 8, y(0) = 0, y'(0) = 1, y" (0) = -2. A2:(5 points] Use Variation of Parameters to solve the differential equation e2x y" â 3y' + 2y =- er +1 A3:(5 points) A mass weighting 4 pounds is suspended to a spring whose c. E o . O 9 ^ a gx a F - ENG 12:02 PMG Dus 2017-11-21 Y
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