Indicate whether you believe the statement is true or false. I WISH TO SKIP \"TR
ID: 3108766 • Letter: I
Question
Indicate whether you believe the statement is true or false. I WISH TO SKIP "TRUE OR FALSE" Since y_1 = x^3 and y_2 = x are both solutions to the differential equation 3(y"')y = (y')(y"), then the sum y_1 + y_2 is also a solution to it. If you are given one of the complementary solutions to a 2nd-order nonhomogeneous linear differential equation, then you have enough information to find the general solution. Suppose you have a 2nd-order nonhomogeneous linear differential equation with constant coefficients. There must be at least one term like e (where r is some real number) in the general solution. When using VOP in a 2nd-order nonhomogeneous linear differential, you need to find the complementary solution first to avoid duplications in the assumed particular solution. Suppose you have a 3rd-order homogeneous linear differential equation. The solution contains 3 arbitrary constants. A homogeneous Cauchy-Euler differential equation becomes HLECC with the substitution x = log_ (t). Equidimensional differential equations are the higher-order equivalents of Bernoulli equations. If the Wronskian for 2 functions is nonzero, then they are solutions to the same 2nd-order differential equation.Explanation / Answer
True Using the fact if y1 and y2 are linearly independent solutions of the differential equation then c1y1+c2y2 is also a solution where c's are arbitrary constant.
True , True, True, True,False (x= et ), True, True.