Using Integrating Factor:
1. Obtain the general solution to the equation dy (x2 + 2) ?+ xy - 3x...
Obtain the general solution to the equation. dy (x2+4) + xy - 3x = 0 dx The general solution is y(x) = ignoring lost solutions, if any.
Obtain the general solution to the equation. (x2+4) dx + xy-3x=0 The general solution is y(x) = 3, ignoring lost solutions, if any.
Obtain the general solution to the equation. (x²+3) dy dx + xy - 7x = 0 The general solution is y(x) = ignoring lost solutions, if any.
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
7) Obtain the general solution to the equation. dy-y + 4x + 1 dx X The general solution is y(x) = Ignoring lost solutions, If any. Fill in Box
1) Separate variables and find the particular solution of the differential equation x2 dy = y dx if y = 1 when x = 1. -1 - + 2 A) In y = =-- + 2 or y=e B) In y = ln x2 or y = x2 A) in y=- +2 or y=e**2 C) In y=-1+1 or w ts - +1 In y = -— +1 or y=e D) 4+2 or y= 2: 2) Find the general solution of...
1: The equation dy + 2y = xy-2 is an example of a Bernoulli equation. (a) Show that the substitution v = y; reduces eqauation to do + 6u = 3x. (b) Find the general solution to the equation in part(a).
2.3.13 3 of 42 Obtain the general solution to the equation у dx dy + 6x = 4y3 С The general solution is x(y) = on IN 74 + ignoring lost solutions, if any. 16
Obtain the general solution to the equation (169-x2) dy-1x2ys(13+x)A69-x2 169 x Xys(13+x) 169-x ax 13
Consider the following differential equation. (x2 − 4) dy dx + 4y = (x + 2)2 Consider the following differential equation. dy (x2 - 4) dx + 4y = (x + 2)2 Find the coefficient function P(x) when the given differential equation is written in the standard form dy dx + P(x)y = f(x). 4 P(x) = (x2 – 4) Find the integrating factor for the differential equation. SP(x) dx 1 Find the general solution of the given differential equation....