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- A 12 volte battery is connected to a simple series circuit in which inductor is -H and the resistance is 10o Then the expression for the current i if i(0) =0 is i =(1-e-10t) %=(1+e-10t) = Ll i =(1+e-205) i = (1-e-20t)find the series of cosx4 and (cosx)44. Solve by finding series solutions about x=0: ху" + Зу' — у %3D 0
- Solve (1-x2)y"-2xy'+20y=0 using power series. Find the recursion formula and write each solution up to the first three non-zero terms.Find two power series solutions of (x2+2)y"+5xy'-y=0 about the ordinary point x=0. Include the first three terms of each series.Consider the ODE (4 + x²)y" - 2xy' + y = 0. Write the general solution of the ODE by finding two power series solutions about the ordinary point x = 0. Write out the first three nonzero terms in each series.
- If mSW=(12x-5) find mSWsolve the given differential equation by means of a power series about the given point x0. Find the recurrence relation; also find the first four terms in each of two linearly independent solutions (unless the series terminates sooner). If possible, find the general term in each solution. normally for this type of question, I set up the y=a0+a1x+a2x^2, why this set up as a0+a1(x-1).....Find the numerical solution the following by (usingtaylor series method メ*3 dyンメャコ %3D yCXo) =yo =1 Lor X=0(0-1 )0-1