alpha = 3
beta =2 Can you solve it in a hour please Thank you very much.
Answer = the answer is given below
alpha = 3 beta =2 Can you solve it in a hour please Thank you very...
Alpha=9 beta=3 yazarsin
1. Consider the following initial-value problem. y' = e(1+B)t ln(1 + y2), 0<t<1 y (0) = a +1 a) ( 15p.) Determine the existence and uniqueness of the solution. b) ( 15p.) Use Euler's method with h = 0.25 to approximate the solution at t = 0.5. {"
.α=2 β=2
1. Consider the following initial-value problem. y' = e(1+B)* In(1 + y²), 0<t<1 y (0) = a +1 a) ( 15p.) Determine the existence and uniqueness of the solution. b) ( 15p.) Use Euler's method with h=0.25 to approximate the solution at t=0.5. {v=
x=6 1. Consider the following initial-value problem. Sy' = e(1+B)t In(1 + y2), 05t51 y (0) = a +1 {" 3:2 a) ( 15p.) Determine the existence and uniqueness of the solution. b) ( 15p.) Use Euler's method with h = 0.25 to approximate the solution at t = 0.5.
B=1 1. Consider the following initial value problem. V = n(1 + y²), OSI31 y(0) = 0+1 a) ( 15p.) Determine the existence and uniqueness of the solution. b) ( 15p.) Use Euler's method with h = 0.25 to approximate the solution at t=0.5. 2=8
1. Consider the following initial-value problem. s y' = e(1+B)t In(1 + y2), 0<t<1 y (0) = a +1 a) b) t=0.5. Determine the existence and uniqueness of the solution. Use Euler's method with h = 0.25 to approximate the solution at
alpha = 3
beta =2 Can you solve it in a hour please Thank you very
much.
3. (15p.) Approximate the following integral using the two-point Gaussian quadrature rule (x +a)e(2-1)2-Bdx 2 0
alpha = 3
beta =2 Can you solve it in a hour please Thank you very
much.
4. Consider the following system. -1 271 - I2 + 3 271 - 272 - I3 1 - 12 + 2.73 E B -2
SOLVE USING MATLAB ONLY AND SHOW FULL CODE. PLEASE TO SHOW
TEXT BOOK SOLUTION. SOLVE PART D ONLY
Apply Euler's Method with step sizes h # 0.1 and h 0.01 to the initial value problems in Exercise 1. Plot the approximate solutions and the correct solution on [O, 1], and find the global truncation error at t-1. Is the reduction in error for h -0.01 consistent with the order of Euler's Method? REFERENCE: Apply the Euler's Method with step size...
alpha = 3
beta =2 Can you solve it in a hour please Thank you very
much.
2. (20p.) Consider the cubic spline for a function f on (0,2] defined by S(z) = { (-- 1)327 ct an 10 Fritisa52 where r,c and d are constants. Find f'O) and f'(2), if it is a clamped cubic spline.
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the systenm (a) Show by substitution that r(t)-sint, y(t) - cost is an exact solution (b) Now consider another solution, with initial condition 2(0) = 1/2, y(0) = 0, Without doing any work, explain why this solution st satisfy a2 + y2 <1 for all t< oo. For the systems in problems 4-7, find the fixed points, lincarize about them, classify their stability, draw their local trajectories, and try to fill in the full...