5. Given the differential equation: dy 1 +-y = 3x2 dx Find (a) (b) the general solution for the differential equation; and (6 marks) the particular solution for the differential equation if the boundary condition is y(1) =2. (2 marks)
calculo 1- Given the function y = (4-x^2 ) + 4 * arcsen (x/2) Get dy/dx and its value for x 0 (this year is requested to find the value of the pending for the function given in Point X :0). 2- Is yarcta n ((x +3)/(1-3x) Find his derivative 3- Determine dy,/ dx and the value at the point (using implied derivation) 2x 2 y 2-3xy 1 0 3x2Уз + 3xy2 +1-6+,5 2xy + sen(y) # 2 6 Determine...
Find dy at x = dt - 5 if y = – 3x2 – 1 and dx = - 5. dt dy dt
Given y = 3x2 – 4 when x0 =2 and dx =3 Please find (1) difference quotient, (2) the derivative, and (3) the actual differential, and (4) THE APPROXIMATE DIFFERENTIAL
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
01: Solve the following D.Es: 1) dy dx e3x+y 2) y(6) + 12y(4) + 48y(2) + 64y = 0)
Change the order of integration: 4xy dy dx. +2 y = 6 y = x + 2 a poco a. 60 * Loa 4xy dx dy $ , 4xy dx dy z 4xy dx dy af Luz Axy ox ay 4xy dx dy Moving to another
In Problems 3-6, find the critical point set for the given system. dx 4. dx = x-y, 3. dt y1 dt dy dy = x2 y2 - 1 dt = x + y + 5 dt dx dx x2- 2xy y2- 3y 2 6. 5. dt dt dy dy 3xy - y2 (x- 1)(y 2) dt dt
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
1. Let Q1 = y(7), where y solves dy dx + 8x 2 = 5x, y(6) = 4. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5. 2. Let Q1 = y(1), where y solves dy dx + 1.7y = 5e 1.2x...