17 pointsl Find an Cauchy-Buler differential equation that has a general solution
17 pointsl Find an Cauchy-Buler differential equation that has a general solution
Find the general solution 4. Find the general solution in (0,00) to the Cauchy-Euler Equation z?y" + xy - y = 204
The general solution of the Cauchy-Euler differential equation x’y" + 5xy' + 4y = 0 is a) y = ce-* + c2e-4x b) y = c;e-2x + czxe-2x d) y = Cyx-2 + c2x-2 Inx c) y = C1x-1 + c2x Select one: C a
3. (17 points) Find the general solution of the linear differential equation y" + 5y + 4y = (3x - 8)e* using the method of undetermined coefficients.
Find the general solution to the differential equation: y3 y ' = t Find the general solution to the differential equation: y3 y'=t
Find the general solution of the dierential equation 3. Find the general solution of the differential equation y" + 4y = 2 +e2x cos 2x
Find the general solution to the following non-homogeneous Cauchy-Euler equation. Use the method of variation of parameters to find a particular solution to the equation *?y" - 2xy' + 2y = x?, x>0.
4. a) Find the general solution of the Cauchy-Euler equation 4x3y" - 4x2y"+3xy 0 b) Use the variation of parameters to find the general solution of 4x3y"-4x2y, + 3x/ = 6x7/2
Find a general solution to the given Cauchy-Euler equation for t> 0 fy"(t) - 9ty' (t) + 25y(t) = 0 The general solution is yt) = D.
(17 points) (a) Find the general solution of the differential equation y" (t) + 4y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (i) y(0) = 0, y'(0) = 1: y = (ii) y(0) = 1, y'(0) = 0:y= (iii) y(0) = 1, y(1) = 0:y= (iv) y(0) = 0, y(1) = 1: y = (On a...