Solve the initial value problem. dy/dx = 6sin(3x)(y + 3); y(π/6) = 3
Solve the initial value problem. dy/dx = 6sin(3x)(y + 3); y(π/6) = 3
Solve the following initial value problem y(0) = 0 cosx (dy/dx) - ysinx = 3x^2
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. dx = 3x + y - e 3t. dt x(0) = 2 dy = x + 3y; dt y(0) = - 3 The solution is x(t) = and y(t) = 0
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 2yy'+3=y2+3x with y(0)=4a. To solve this, we should use the substitution u=With this substitution,y=y'=uEnter derivatives using prime notation (e.g., you would enter y' for dy/dx ).b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'c. The solution to the original initial value problem is described by the following equation in x, y.
Solve the initial value problem. (6+av+x]dx + (8yx? + sin y) dy = 0, y(t) == The solution is (Type an equation using x and y as the variables. Type an implicit solution. Type an exact answer in terms of t.)
Solve the initial value problem. 9 dy 3 +5y 3 e 0, y(0)=7 dx The solution is y(x) =I
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)
1. Solve the initial value problem dy y dx 8xex, y(1) = 8e + 2 X
Solve the given initial-value problem. d2y dθ2 + y = 0, y(π/3) = 0, y'(π/3) = 6