please help dy 1. Solve the initial value problem, dr2 8y-16% y(0) = 5, 7(0) =...
4. Consider this second order linear differential equation 2d¢y _5r° dy +8y 0 dr dr2 = r solve the DE. Show that there are (a) Find numbers m such that y(x) two such m, and we call them m,m2 exactly (b) Show that y(x) = cir"1 + czr*m# also solves the DE, where ci,c2 are arbitrary constants (c) Can you find ,2 so that y(x) solves the following initial value problem? y(1) 0 /(1)2 (d) Can you find c,c2 so...
Solve the following second order initial value problem by the method of undetermined coefficients: y'-8y' +16 y = 2e", y(0)=1, y'(0)=0.
(1 point) Solve the following initial value problem: dy + 0.6ty = 3t dt with y(0) = 5. y = (1 point) Solve the following initial value problem: dy dt + 2y = 3t with y(1) = 7. y
Solve the initial value problem. dy = x(y-5), y(0) = 7 dx The solution is (Type an implicit solution. Type an equation using x and y as the variables.)
Solve initial value problem (IVP) dy 2y- х dx V x2 – 16 = 0, y(5) = 2
-/1 POINTS Solve the initial value problem: dy + 2 y = 0 Y(0) = 5 x(t) = . Submit Answer Practice Another Version
Solve the initial value problem y" + 8y' + 16y = 0, y(-1) = 2, y' (-1) = 5. Equation Editor Common 2 Matrix o @ sin(a) seca) s in-(a) cos(a) csca) cosa tan(a) cota) tana) Va Va la U yt) =
Question 6 (30 points Solve the initial value problem. y"+8y + 16y = 0, y(0) = 1, y'(0) =1 y(t) = 5e-41 + te-4, Question 7 (30 points) Solve the following equation by undetermined coefficients. -67 5 C2e Question 9 (30 points) Solve for the general solution of the differential equation. Question 10 (10 points) Compute using the table of Laplace Transforms. (s-2) (r-2) (s+2 6 (s+2)
Solve the initial value problem. 7 dy + 9y - 9 e-X = 0, y(0) = dx 8 The solution is y(x) =
Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem. 8) e dy + y = cos e; e > 0, y(n) = 1 de 8) Solve the problem. 9) A tank initially contains 120 gal of brine in which 50 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 10 gal/min. The mixture is kept uniform by stirring and flows out of...