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Differential Equations: Solve Initial Value Problem with a piecewise function and initial conditions
equations Ordinary Differential Homework problem 8 consider the initial value problem So if ostki - by Ist 25 12 If if 5< t < ycod=4 your solve for equation for Y Y=[{y} = on both sides of the Take invertse laplace transform previous equation to sclue for y y =
Differential equations, need help solving #10 7-13 INITIAL VALUE PROBLEM Solve the IVP by a CAS, giving a general solution and the particular solution and its graph. " y(0)-9.91 y'(0)-54.975, y"(0) 257.5125 у,(0)--65, у"(0)--39.75 ,-(0) =-홀 8. y," + 7.5y" + 14.25y,-9. 125y = 0, y(0) = 10.05,
1. (10pts) Find the solution to the initial value problem for the following differential equations 1/' + 2y - 8y = (2x + 2?), y(0) = -1, 7(0) = 0.
differential equations Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) =
Differential Equations Solve the given initial value problem. y'" - 2y" - 36y' + 72y = 0 y(O)= -13, y'(O)= - 34y''(0) = - 308 y(x) = 0
exact differential equations 2. Solve the initial value problem: (2.1 – y) + (2y – r)y' = 0) with y(1) = 3. 3. Find the numerical value of b that makes the following differential equation exact. Then solve the differential equation using that value of b. (xy? + br’y) + (x + y)x+y = 0
differential equations Use the Laplace transform to solve the given initial-value problem. y" - sy' + 16y = t, Y(0) = 0, y'(0) = 1 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y" - y' = e cost, y(0) = 0, y'(O) = 0 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y" - 4y' + 4y = 6%e2t, y(0) = 0, y'(O) = 0 y(t) =