2. Solve the following initial value problem using the method of variables separable: 3y 2
Solve the initial value problem below using the method of Laplace transforms. y" + 2y-3y® 0, y(0)-2, y'(0)-6
4. Consider the following initial value problem: y(0) = e. (a) Solve the IVP using the integrating factor method. (b) What is the largest interval on which its solution is guaranteed to uniquely exist? (c) The equation is also separable. Solve it again as a separable equation. Find the particular solution of this IVP. Does your answer agree with that of part (a)? 5 Find the general solution of the differential equation. Do not solve explicitly for y. 6,/Solve explicitly...
• 4. Solve the following initial value problem using Laplace transforms: y" – 4y' + 3y = 234, Y(0) = 0,5/(0)=1.
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
help #7. Solve the initial value problem using the method of Laplace transforms. y""+y" + 3y' - 5y = 16e- yO=0 v'O)=2 y"(= - 4 Before you start solving for y(s), write your Laplace transform of the equation on your Answer Sheet. If you obtain a solution, add it to your Answer Sheet later. [Hint: if you are having trouble factoring a polynomial of high degree, check on simple roots like -1 or 1.]
solve all please Homework II By using the method of power Series, solve the initial value problem given by loca+1)y't xy't zy=0 58 = S( = 1. at the ordinary point 36=0 the following system Solve y'+ 2xl-3y = - etsint x-44 +0= ēt cost. verify that y=x+1 is a particule solution of (E): scyl- 2(x+by+2y=0 using the reduction order method. method the general solutions of (E)
6(10pt). Solve the initial value problem ry' + 3y = 2", y(2) = 1.
[10] 2. Solve the initial value problem (x^ + 3y^ + c)2 + 2xy + y = 0, g(1) = 1.
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' + 3y = 45 e 21, y(0) = -6, y'(0) = 21 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =
Solve the initial value problem below using the method of Laplace transforms. y" - 2y' - 3y = 0, y(0) = -1, y' (O) = 17 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms y(t) = 1 (Type an exact answer in terms of e.)