a) Solve the ODE y" + 4/ + 4 using the method of variation of parameters b) A series circuit contains a resistor with R 4092, an inductor with L 2 H, a capacitor with 0.0025 F, and a 12 - V battery. The initial charge is Q = 0.001 C and the initial current is 0. Using the method of undetermined coefficients, find the charge at time t

a) Solve the ODE y" + 4/ + 4 using the method of variation of parameters b) A series circuit contains a resistor with R 4092, an inductor with L 2 H, a capacitor with 0.0025 F, and a 12 - V battery. The initial charge is Q = 0.001 C and the initial current is 0. Using the method of undetermined coefficients, find the charge at time t

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Consider the initial value problem: () = cos(t)+ y(t) – 5, y(2) = -1. Use the improved Euler's method with 2 intervals to find an approximation for the solu- tion on the interval [2, 2.5]. Round each step's answer to 4 significant digits and use the rounded value in the subsequent calculations.
5) Use the simple fixed point iteration method to find a root of the =- cos x with initial guess x, = 4 with ɛs =0.06% equation: x3
The equation, d(t) = 255t + 5654 represents the tuition, d dollars, at a college for the year Find an inverse that is t years since 2002. function for this model. t-255 5654 t+5654 255 t-5654 255 t +255 5654
If is a constant, differentiating a linear combination of cos wx and sinox with respect to x yields another linear combination of cos wx and sin wx. In Exercises 24-29 use this to find a particular solution of the equation. Then find the general solution and, where indicated, solve the initial value problem and graph the solution. y6y3= 27. = 18 cos x 6 sin x
The second stage Numerical Analysis (A) 1- Using Newton-Raphson method solve xlogp x=12.36 with xo = 10, to 3 iterations?
Solve the initial value problem: f(x) = 6 cos x + 2 x, F(π) = 2 + π² 2
1. Solve one real root of e – 2x – 5 = 0 with co Iteration Method accurate to four decimal places. -2 using the Fixed-Point 2. Compute for a real root of sin x - x = 0 using three iterations of Fixed- Point Iteration Method with ao 0.50.
(b) Euler's method with h = 0.5 and 0.25.
4. 3√6 Approximate by using Newton-Rhapson method with the initial value 1.5 up to third iteration. Give your answer to three significant figures.