(b) Use the Laplace transform method to find the solution of d²y 6+9y= 4e", yo = 2, y1 = 0. dt dy %3D

Q: Q"+4Q'+4Q=2t Solve with Laplace transform

A: Using laplace transform to solve the problem.

Q: Use the characteristics method to determine the solution for the equation d2y/dt2 + dy/dt +3y = 0.

A: Dear student we are write the ordinary differential equation so  we use the characteristic equation…

Q: x2y3-y=x+x2 find dy/dt

A:

Q: find dy/dt.

A:

Q: d (t2 sec(t)3' E Please select file(s) Select file(s)

A:

Q: y' + z' - 2y = 1 z – y' = t %3D Yo = 20 = 1 %3D -

A:

Q: find the a general solution to dy/dt = {{-9,12},{6,-8}}y

A: (.)  Given ,            (.)  Consider a system of differential equation ,…

Q: Use Laplace transform to solve: du ди -x = 0; u(x,0) = e*, u(0,t) = 0. at %3D %3D ax

A: Solution

Q: Let F(x) = dt. Then %3D 25 (t + t10)15 F'(x) = %3D

A:

Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

A:

Q: = cos(4t + 12)

A:

Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

A:

Q: + y = ty dt

A:

Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: Please fill the blanks (......... is a blank) Solve the IVP (d^2y/dt^2)+49y=?(t-k π) , y(0)=0;…

A:

Q: Solve the IVP using Laplace Transform y" = y + 2y, y(0) = -2, y (0) = 3.

A:

Q: - choose the correct answer If y = t^2/(t^2+1) and t= v(2x+1) the = dyldx %3D 1/N(2x+1) O 2(x+1)^2 O…

A:

Q: y"+2ў-15y=0 усо)=1 y'(0)=-2

A:

Q: Solve using Laplace transform y" - y = e' cost, y(0)= 0, y'(0)=0

A: Solve the differential equation by using lapalce transformation

Q: ý + 16y = 8 (t – ) sin (2t), y(0) = 0, ÿ(0) = 0

A: The solution is given by using some formulas of Laplace transform as follows :

Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

A:

Q: Find the general solution to the linear ODE. Use each method (integrating factors and educated…

A:

Q: dy - 4 - 5y = dy -3t sin(4t) ; y (0) = 3, y (0) = 10 dt2

A:

Q: 4. a) Find the general solutions of the following differential equations. Express the general…

A:

Q: Use the Laplace transform to solve the given initial-value problem y' + 9y = e-9t, y(0) = 3

A:

Q: t2+1 = 0 dv Vt- dt V+1

A:

Q: Use the method of first principles to show that d/dt(lnt)=1/t

A:

Q: Find dy/dx

A: Here we use fundamental theorem of calculus, in which to find the derivative of a definite integral…

Q: Solve by using Laplace Transform and explain the steps in brief d?x dx +2 +x= 3te dt? dt Given x(0)…

A: The given differential equation is: d2xdt2+2dxdt+x=3te-t  …1 Given: x0=4; x'0=2

Q: find the general solution to dy/dt = {{3,-1},{4,7}}y

A: