Question

Solve the following differential equation using taylor series centered at x=0:

(2+x^2)y''-xy'+4y = 0

Answer #1

Solve the differential equation by using integrating factors.
xy' = 4y − 6x^2
y(x)=?

Power series
Find the particular solution of the differential equation:
(x^2+1)y"+xy'-4y=0 given the boundary conditions x=0, y=1 and y'=1.
Use only the 7th degree term of the solution. Solve for y at x=2.
Write your answer in whole number.

solve differential equation ((x)2 - xy +(y)2)dx - xydy
= 0
solve differential equation (x^2-xy+y^2)dx - xydy =
0

Solve the following differential equation using the Power Series
method y''+xy'+y=0. Calculate the value of a2, if a0=9.3.

Solve the following differential equation using the power series
method. (1+x^2)y''-y'+y=0

Solve the following differential equation using the Power Series
method 9.5y''+xy'+y=0. Calculate the value of a2, if a0=20.

Solve the differential equation
y^' − xy = e^x y(0) = 2

Cauchy - Euler differential equation!!
(x^2)y" + xy' +4y = cos(2 ln(x)) what is the Cauchy -
Euler differential equation general solve?

Differential Equation:
Determine two linearly independent power series solutions
centered at x=0.
y” - x^2 y’ - 2xy = 0

Solve the following differential equations
y''-4y'+4y=(x+1)e2x (Use Wronskian)
y''+(y')2+1=0 (non linear second order equation)

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