Find the general solution, y(x) for (y')*(y'')+(y')3= 2e-2y
Find the general solution using variation of parameters: y" – 4' – 2y = 2e+
(3 points) (a) Find the general solution to
y′′+2y′=0. Give your answer as y=... . In your answer, use c1 and
c2 to denote arbitrary constants and x the independent variable.
Enter c1 as c1 and c2 as c2.
(3 points) (a) Find the general solution to y" + 2y' = 0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants and x the independent variable. Enter cı as c1 and C2...
1. Find the general solution by substitution or elimination. (p) -2 + y + 2e+ x - y-et
find general solution using variation of parameters y" - 2y' + y = e^x/(1 + x^2)
1. Find the general solution to the equation y" - y - 2y = -e- 2. Find a particular solution to y" + 4y = 11 sin(2t) + cos(2t) 3. Find the form of a particular solution to be used in the Method of Undetermined Coefficients for the equation y" + 2y' +2y = te-* cost Do not solve the equation
4. (16) Find the general solution of y" - V - 2y = er for each part below, circle your final answer. Find y Let f(x) = W M12 Vs = 56) 1 - 0 W= (3) 42 General solution y =
Use the Method of Undetermined Coefficients to find the general solution for the differential equation: y"-2y'+2y= e^(x)sinx Answer should be: y= ce^(x)cosx+ce^(x)sinx-(x/2)e^(x)cosx
Find the general solution of y" + xy' + 2y = 0 in terms of power series in x. State the radius of convergence of the series.
1.Find the general solution to the following ODE's a). y'' +y= sec^2t b). x^2y'' +3xy'+3y=0
3. Find the general solution of the differential equation y” + 2y' + y = 0 (a) y=ce' +c,e* (b) y= ce" + xe * (c) y = cxe* +c,e* (d) y= ce* +C,xe" (e) y=ce?* +c,e-2 (f) y= c,e + ,xe” (g) y=cxe?* +cze 2 (h) y= c,e + ,xe 21