Please answer with work Solve the initial value problem. (4%) dy 4x-3/4, y(1) = 9 dx...
Problem #3 Solve initial value problem as follows: 1 r2 dạy dy + 4x dx2 dx + 2 y = y|x=1 dy dx = 2, | x=1 = 3. х dy Calculate the value of at the point where x = 2, round-off your value of the derivative to four figures and dx present your result below (10 points): (your numerical result for the derivative must be written here)
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) =
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
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 initial value problem. 9 dy 3 +5y 3 e 0, y(0)=7 dx The solution is y(x) =I
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...
Solve the initial value problem. dy/dx = 6sin(3x)(y + 3); y(π/6) = 3
1. Solve the initial value problem dy y dx 8xex, y(1) = 8e + 2 X
Solve the initial value problem (2x – y2)dx + (1 – 2xy)dy = 0, y(1) = 5
Solve the following exact differential equation with initial value. (5x + 4y)dx + (4x - 8y3)dy = 0, y(0) = 2