Please solve both questions please.
Please solve both questions please. Solve the given initial value problem. y'"' + 11y'' + 38y'...
Differential Equation Please answer both of the questions below Thanks! Solve the given initial value problem. y'' + 36y = 0; y(0) = 3, y'(O) = 5 x(t) = Find a general solution to the differential equation using the method of variation of parameters. y'' + 2y' +y=2e -t The general solution is y(t) = .
9. Question Details ZIDIFEQ9 4.3.009.(38 Find the general solution of the given second-order differential equation. y"+ 36y o y(x) 10. Question Details zomEQ9 4.3.015. Find the general solution of the given higher-order differential equation. yx) - 11.Question Details ZIDTEQ9 4.3.029 Solve the given initial-value problem. y" + 36y-o, y(0)-7, yto)--5 ytx)- 12. Question Details ZIMDifTEQ9 4.4 Solve the given differential equation by undetermined coefficients. y"-6y' + 9y # 6x + 5 y(x)- 13. Question Details ZillDiffE Solve the given differential...
Solve 6y" - 6y' + 9y = t^2e^3t .... y(0)=0 & y'(0)=0 An initial Value Problem Sove: y'-6y +9y=t&t, y(O) = 0 , Y'()=0 Please Solve this IVP.
help with all except numbers 21-26 16. Solve the differential equation by using the Cauchy-Euler Equation 17. Find the solution to the given Initial Value Problem using Green's Theorem 0,y'(0)s 0 y(0) y" + 6y' + 9y x, 18. Find the solution to the given Boundary Value Problem y" ty-1, y(O)0, y(1) 19. Solve the system of differential equations by systematic elimination. dy dt dt 20. Use any procedure in Chapter 4 to solve the differential equation subjected to the...
please show work Problem 11 (score: 0) Solve the initial value problem y' = 6y" – 9y' with y(0) = 2, y(0) = -2 and y" (0) = -3. y(x) = Submit Last change: 2019/08/30
(1 pt) Use the Laplace transform to solve the following initial value problem: y" +-6y' + 9y = 0 y0) = 2, y'(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(s) = sta + Y(s) = 2 Now by inverting the...
2) (10) Find the integrating factor and solve the initial value problem -2xy + y(1) Find an interval of solution w of cooling, the rate at which the temperature of an object isproportional to the difference between the temperature 3) (10) In Newton's law of cooling, the rate at whic changes over time is proportional to the of the object (t) and the temperature of the surrounding medium For the following problem set up the initial value problem, then solve...
4. Consider the differential equation y' - 6y' + 9y = 4e3t a) Find the general solution of the differential equation. b) Solve the IVP: Y" - 6y' +9y = 4e3with y(0) = 1 and y'(0) = 10.
Tutorial Exercise Use the Laplace transform to solve the given initial-value problem. y' + 5y = et (0) = 2 Step 1 To use the Laplace transform to solve the given initial value problem, we first take the transform of each member of the differential equation + 6y et The strategy is that the new equation can be solved for ty) algebraically. Once solved, transforming back to an equation for gives the solution we need to the original differential equation....
Solve the given initial value problem. | | - = 4x + y; | (0) = 3 2 = -2x+y, y(0)=0 | The solution is x(t) = I and y(t) = D. Find the critical point set for the given system. | = y +5 = x + y - 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The set of critical points is { }. (Use a...