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MATH 450 Success Begins / snaptutorial.com

MATH 450 Week 1 Homework

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MATH 450 Success Begins / snaptutorial.com

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  1. MATH 450 Week 1 Homework For more classes visit www.snaptutorial.com MATH 450 Week 1 Homework ======================= MATH 450 Week 1 Quiz For more classes visit www.snaptutorial.com MATH 450 Week 1 Quiz ========================= MATH 450 Week 2 Homework For more classes visit www.snaptutorial.com MATH 450 Week 2 Homework ============================ MATH 450 Week 2 Quiz

  2. For more classes visit www.snaptutorial.com MATH 450 Week 2 Quiz ============================ MATH 450 Week 3 Homework For more classes visit www.snaptutorial.com 1)The equations y1 = x^3 and y2 = x^5 form the basis of the second-order ODE x^2y” – 7xy’ + 15y = 0. Solve the initial value problem for the ODE given y(1)=0.4 and y’(1)=1 2)Find the general solution of the second-order ODE xy’’ + y’ = x^2 by reducing to first-order form 3)Find the general solution for the homogeneous linear ODE y” + 2.4y + 4y = 0. Verify your answer by substitution and using MATLAB 4)Solve the initial value problem for the ODE y” – 9y = 0 given the initial conditions y(0)=-2 and y’(0)=-12 5)Find the location of the maxima and minima of y= e^-2t. Round your answer to an accuracy of 2 decimal points. Hint: Recall from calculus that a maxima or minima of a function y occurs where the

  3. derivative of the function y’=0. In other words the slope of the function is 0 6)Find the general solution of a non-homogeneous ODE y” + 9y = cos(x) +IMG_256cos(3x) 7)Solve the initial value problem for the non-homogeneous ODE y” + 10y’ + 25 = 100sinh(5x) 8)Find the steady state current in the RLC circuit given below where R=8Ω, L=0.5H, C=0.1F and E=100sin(2t) V 9)Find the transient current (a general solution) in the RLC circuit given below given R=0.2Ω, L=0.1H, C=2F, and E=754sin(0.5t) V 10) Find the general solution of the non-homogeneous linear ODE y” – 2y’ + y = e^(x)sin(x) by variation of parameters ============================= MATH 450 Week 3 Quiz For more classes visit www.snaptutorial.com .(TCO 2) Obtain the general solution of the second-order homogeneous ODE . Also obtain the particular solution given initial conditions and . 2.(TCO 2) Find a particular solution of the second-order non- homogeneous ODE using the undetermined coefficients method. 3.(TCO 2) Give a general solution to the non-homogeneous ODE .

  4. 4.(TCO 2) Find current ‘I’ as a function of time t for the RLC circuit given below, if and . Hint: The standard form of ODE for the circuit is . ============================ MATH 450 Week 4 Homework For more classes visit www.snaptutorial.com 1)Find an ODE for which the given functions e-2x, xe-2x, and x2e- 2x form a basis of solutions. 2)Find an ODE for which the given functions cos(x), sin(x), xcos(x), and xsin(x) form a basis of solutions. 3)Obtain the general solution of the ODE yiv–29y”+100y=0. 4)Obtain a general solution of the ODE 4y”’+8y”+41y’+37y=0. Also solve the initial value problem given y(0)=9, y’(0)=-6.5, and y’’(0)=-39.75 5)Obtain the general solution of a non-homogeneous ODE [img width="179" height="22" src="file://localhost/Users/mariangergi/Library/Caches/TemporaryItems/ msoclip/0/clip_image002.gif" alt="Описание: w4_hw_05" v:shapes="Picture_x0020_1"> 6)Solve the initial value problem given the ODE yiv – 16y = 128cosh(2x) with initial conditions y(0)=1, y’(0)=24, y’’(0)=20, and y’’’(0)=-160

  5. 7)Are the given functions y1 = x+1, y2 = x+2 , and y3 = x linearly independent or dependent? 8)Apply the Euler method to solve the following initial value problem y’ = (y + x)2 given y(0)=0 and the step size h=0.1. Provide a table with the exact, calculated values, and the error for each step. 9)Apply the Euler method to solve the following initial value problem y’=(y+x)2 given y(0)=0 and the step size h=0.1. Provide a table with the exact, calculated values, and the error for each step. 10)Apply the classical Runge-Kutta method to solve the following initial value problem y’=(y+x)2 given y(0)=0 and the step size h=0.1. Provide a table with the exact, calculated values, and the error for each step =============================== MATH 450 Week 4 Quiz For more classes visit www.snaptutorial.com MATH 450 Week 4 Quiz ============================== MATH 450 Week 5 Homework For more classes visit www.snaptutorial.com

  6. Homework Problem Work 1. Find a general solution of the given ODE y''+15y'+50y =0 by converting it to a system. Verify the result using the previously known analytical method of solving second-order ODE. 2. Find a general solution of the given ODE y''+2y'-24y = 0 by converting it to a system. Verify the result using the previously known analytical method of solving second-order ODE. 3. Find a real general solution of the system: 6. Convert the given ODE to a system form first and then determine the eigenvalues, coefficients p, q, and determinant . Determine the type of critical point based on these values. 7. Find a general solution of the system: =========================== MATH 450 Week 6 Quiz For more classes visit www.snaptutorial.com 1.(TCO 5) Apply the power series method to obtain the solution of . Compare this with the result obtained using MATLAB dsolve function. 2.(TCO 5) Solve the initial value problem of using power series method given .

  7. 3.(TCO 5) Using the Frobenius method, find a basis of solutions of the ODE: 4.(TCO 5) Using the indicated substitutions , find a general solution of in terms of and . ========================== MATH 450 Week 7 Homework For more classes visit www.snaptutorial.com 1.(TCO 6) Find the Laplace transform of the function . Verify using MATLAB. 2.(TCO 6) Find the Laplace transform of the function . Verify using MATLAB. 3.(TCO 6) Using partial fractions method solve the initial value problem given and . Verify using MATLAB. 4.(TCO 6) Using partial fractions method solve the initial value problem given and . Verify using MATLAB. 5.(TCO 6) Solve the initial value problem for given and . Verify result using MATLAB. 9.(TCO 6) Using the Laplace transform, solve the initial value problem: ====================================

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