Differential Equations Answers

determine the particular solution of the differential equations y''+9y=e^xcosx, using the method of undetermined coefficient

Show that y=x+tanx satisfies the differential equation cos2x d2y/dx²-2y+2x=0

bc(b-c)yzp+ca(c-a)xzq=ab(a-b)xy

Solve the following Bernoulli’s equation: 𝑑𝑥 /𝑑𝑦 = 𝑥² + 2𝑥𝑦 + 𝑦²

Compute W(y1,y2) where y1 and y2 are solutions of the differential equation y"+y'+y=0

( D^3 + D^2 - 4D - 4) y = 3e^-4x -6

 Considering the LRC series with a charge of 𝛼 Henry, capacitance 0.000𝛽Farad, having the resistance of 50 times (𝛼 + 𝛽)ohms with emf of 100V. Suppose that no charge and current is present at time 𝑡 = 0 when the emf is applied. Determine the charge and current at any time 𝑡. Where 𝛼 and 𝛽 are the non zero digits of your registration number, 𝛼 being the tenth place digit and 𝛽 being the unit place digit. If 𝛼 or 𝛽 is zero then take any non-zero digit of your registration number. my reg no is 1 and 8

Calculate the inverse Laplace transform of the function :

F(s) = (s+1)/ (s³+s²-6s)

Obtain the inverse Laplace transform of t cos pt, p is not equal to 0.

y²p² -3xy+y=0