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Problem #3 Solve initial value problem as follows: 1 r2 dạy dy + 4x dx2 dx...
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures and present it below (12 points): your mumerical result for the ae ust be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark...
Problem #2 Solve the initial value problem as follows: dzy 27+246X Calculate the value of d at the point x - 2, round-off the number to four figures and present it below (11 points): (your numerical result for the derivative must be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark a correct variant) (3 points): ye x= ye
38. [-13 Points] DETAILS SCALCET8 10.2.011. Find dy/dx and dạy/dx2. x = +2 + 9, y = t2 + 5t dy dx dy ho = dx² For which values of t is the curve concave upward? (Enter your answer using interval notation.)
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Solve the initial value problem. (4%) dy 4x-3/4, y(1) = 9 dx 22)
Solve the initial value problem dy dx+2y-4e0y(O)2 The solution is y(x)
Solve the initial value problem dy dx+2y-4e0y(O)2 The solution is y(x)
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =
Question # 3
2. a) Consider the initial value problem d3y dy dy dxs dx dx2 Obtain the first five non-zero terms of the solution using the Taylor expansion approach. b) Calculate y(1.5, ( (1.5) using the result of part (a) 3. Obtain the solution of problem (2) atx method) with a stepsize of 0.5. 1.5 using the Modified Euler's method (Midpoint
2. a) Consider the initial value problem d3y dy dy dxs dx dx2 Obtain the first five non-zero...
Solve the following exact differential equation with initial value. (5x + 4y)dx + (4x - 8y3)dy = 0, y(0) = 2
1. Solve the initial value problem dy y dx 8xex, y(1) = 8e + 2 X
dy 1.A. Solve the differential equation: = = y2ex dx dy B. Solve the initial value problem: + 2y = 3x2 ; y(0) = 1 dx C.A certain radioactive substance has a half life of 1300 years. Assume an amount yo was initially present. a.Find a formula for the amount of radioactive substance present at any time t. b.In how many years will only 1/10 of the original amount remain?