need help please 2) a) Solve the IVP using either variation of parameters or integration factor....
a) Solve the IVP using either variation of parameters or integration factor. Clearly indicate what the varying parameter is if you use variation of parameters or what the integration factor is if you use that method. Also, indicate the general solution to the homogeneous equation. dy 1 = sin(t) – y, yco) = dt b) Draw the direction field and draw in the graph of the particular solution that you found.
I need help with this question of Differential Equation. Thanks Use variation of parameters to solve the following system of ordinary differential equations. (dxlat = 2x - y dy dt = 3x - 2y + 4t
In this problem you will use variation of parameters to solve the nonhomogeneous equation fy" + 4ty' + 2y = 1 + 12 A. Plug y = p into the associated homogeneous equation (with "0" instead of "13 + 12") to get an equation with only t and n. (Note: Do not cancel out the t, or webwork won't accept your answer!) B. Solve the equation above for n (uset # 0 to cancel out the t). You should get...
3) Solve for the following ODE using Variation of Parameters y' – 4y' + 4y = x?e? a) Determine the characteristic equation and its roots, and solve for the complementary solution yn (6 marks) b) Solve for particular solution Yp using Variation of Parameters (13 marks) c) What is the general solution y ? (1 mark)
Differential Equations Assignment 15. Variation of Parameters Solve each of the following by variation of parameters 1-4 please Assignment 15. Variation of Parameters Read 4.6, 6.4 You should be able to do the following problems: Exercise 4.6 Problems 1 18, Exercise 6.4 Probl1-6 Hand in the following problems: Solve each of the following by variation of parameters. y" +y - sin a cos r 2a 3 4. The Method of Variation of Parameters can be used to find the general...
(1 point) Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y" +9y sec(3x) a. Find the most general solution to the associated homogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants, and enter them as ct and c2. help (formulas) b. Find a particular solution to the nonhomogeneous differential equation y" +9y sec(3x). yp elp (formulaS c. Find the most general solution to the original nonhomogeneous differential equation. Use c...
Please show how to solve. Correct answer shown. Use variation of parameters to find a general solution to the differential equation given that the functions y, and y2 are linearly independent solutions to the corresponding homogeneous equation for t>0. - 2t + ty +(2t - 1)x - 2y =ềe -2t, Y1 = 2t - 1, y2 = e - A general solution is y(t) = X X That's incorrect. 1 Correct answer: C1(2t - 1) + c2 e - 2t...
Help with question 6 7. Use variation of parameters and solve y"+4y = cosec(2x) sin(x) Given y is a solution to t’y"+ xy + (x² -0.25)y=0, use reduction of 8. order and determine the general solution. -End of Paper- 6. According to Newton's law of cooling, the rate at which a substance cools in moving air is proportional to the difference between the temperature of the body and that of the air. If the temperature of air is 300K (Kelvin)...
Solve the following differential equation using variation of parameters. d yt) 2 dy() +7- + 10y() u(t) dt dt2 y(0) 0, y'(0) = 3 d yt) 2 dy() +7- + 10y() u(t) dt dt2 y(0) 0, y'(0) = 3
Use the method of variation of parameters to determine the general solution of the given differential equation. y(4)+2y′′+y=3sin(t) Use C1, C2, C3, ... for the constants of integration. Enclose arguments of functions in parentheses. For example, sin(2x). y(t)=