In: Advanced Math

Solve the differential equation 2x^2y"-x(x-1)y'-y = 0 using the Frobenius Method

Solve the following differential equation by the method of
undetermined coefficients:
y′′ −2y′ +y=(2x)e^x +e^x(sin2x)

2. Find the general solution to the differential equation
x^2y''+ y'+y = 0 using the Method of Frobenius and power series
techniques.

Solve the differential equation
y''+y'-2y=3, y(0)=2, y'(0) = -1

Solve differential equation by using undetermined coefficient
method
y^''+9y=x^2e^x+6 , y(0)=1 and y^'(0)=1

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

Please solve the following equation by using the frobenius
method.
xy′ = (x + 1)y
My apologies, the original image did not upload. Thank you!

Solve this differential equation
(4x - 2y)dx + (2x - 9y)dy = 0

Solve differential equation by using undetermined coefficient
method
y^''+2y^'+y= 4 sin2x

Please solve the following equation by using the frobenius
method.
xy′′ − (3 + x)y ′ + 2y = 0
My apologies, the original image did not upload properly.

Find the infinite series for the following differential equation
about x = 0, using Frobenius method, Bessel's or Legrende's
equations.
x^2y" + 4xy' + (2+x)y = 0

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