Solve the equation using the power series method y"-2xy+8y=0 where y(0)=2, y'(0)=0 Shoe all steps followed

Find the power series solution of the differential equation y''+4y=0 about the ordinary point x=0.

A discharged capacitor C = 2700F is connected in a series with the resistor R = 10. (a) Find the general formula for the voltage drop Vcap = f(t) across the capacitor if the circuit is connected at time t 0 to a battery supplying voltage Vbat 2.7V. - (b) How long does it take for the voltage accross the capacitor to reach 1.45V? The differential equation governing the voltage drop on the capacitor in this circuit is: Vbat RC dv cap dt V cap RC = 0. =

Solve the differential equations by the Power Series method: y" + x*y' + xy = 0.(Please write two terms in each blank) y = Co(1+ E +...)+ C1(x+ +...) help (formulas)

Find two power series solution of the given differential equation about ordinary point x = 0 y" - 3xy = 0

Solve the differential equation y' = 3(x^2)y using the power series method.

Find y'. 9) y = (5x-2)(3x + 1)

Solve the ODE x" = -4x with x(0) = 1 and x'(0) = 4 in Simulink. Create the model and run a simulation for 10 seconds. Provide the simulation result from the scope window