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(1) y Find the general solution of the differential equation ay - 25 y' + 25 y = 0. (2) Find the particular solution of the initial-value problem y .+ y - 2 y = 0; y(O) = 5, y (0) - - 1 (3) Find the general solution of the differential equation - NO OVERLAP! y. - 3 y - y + 3 y = 54 x - 3e 2x (4) Find the general solution of the differential...
QUESTION 14 Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful. 9yy"=5 Od Ay?- (Ax+B) 2=5 OB.y2-9(Ax+B) 2=5A oc Ay?+9 (Ax+B) 2-5 00. Ay? 5 (Bx+A) =5 DE Ay? (Bx+Ay) 3=5
QUESTION 6 5 points Find the general solution of the following reducible second-order differential equation. Assume x,y and/or y positive where helpful 9y%y"=5 on Ay?+9 (Ax+B) 2-5 ou. Ay?- } (Ax+B) 2-5 ocy2-9(Ax+B)2=5A op. Ay?-(Bx+A) 2-5 OE. Ay?- (Bx+Ay) 2-5
QUESTION 9 Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful. 9y3y" = 5 4. Ay?- (Ax+B)2=5 0 2. Ay?- } (Bx+Ay) 2=5 oc12-9(Ax+B)2=5A OD. Ay2+9 (Ax+B)2=5 Ay?- (Bx+A) ?=5 OL
QUESTION 8 Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful. 9y3y" = 5 DA. Ay? 1y2-(Bx+Ay)?=5 OB.X2-9(Ax+B) 2=5A OC. Ay?- 5 (Ax+B) 2=5 D. Ay2+9 (Ax+B) 2=5 DE AY?- (Bx+4)=5
3) Determine the values below using the graphs of fand g shown. If a value is not defined, state "not defined." Assume the ends of fand g continue the shape you see beyond the graph. Ax) c) 2-5(g(0)-3) (Read carefully.) d) 9(3) a e) g-2) 6-2 9) R-3)+9(5) h) For what values of x does g(x)-2? i) For what values of x is fdecreasing? D For what values of x is g increasing? k) Give three values that g(x) can...
O A Ay21 OB Ay?- (Bx+Ay) ?=5 Find the general solution of the following reducible second-order differential equation. Assume x, y andor y positive where helpful. 9yy"=5 (Bx+A) 3-5 9 9 ocy2-9(Ax+B)2=5A 2- 5 (Ax+B) 2=5 O E Ay2+9 (Ax+B)2=5 OD. Ay?-
2. Using the method of Frobenius, find the general solution about the point i = 0 of the ordinary differential equation 1 (1 - 4) y" - ry' +y = 0. Simplify your answer as much as possible and state the domain of validity. 110 3. Consider the general series solution about the point I = 0 of the ordinary differential equation e'y' + 2y = 0. Find the coefficients of all the terms of this series solution up to...
For the given functions fand g, find the requested composite function value. f(x) = ***, g(x)=x+9; Find (g° 0 – 2). Oo oo D. 25
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______