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(D^2+1)y=x^3+e^xcosx
Solve the following (Euler-Cauchy) differential equation:

(x^4D^4+6x^3D^3+9x^2D^2+3xD+1)y=(1+lnx)^2

Find the general solution and the second solution of,

x2y"-3xy'+4y=0,given y1(x)=x2

solve the following question

  1. dy/dx+3y=3x2e-x

solve the folloing equation

  1. d2y/dx2-2dy/dx+5y=extan2x

solve the following equation

  1. d2y/dx2-2dy/dx+5y=extan2x

Solve the following differential equation subject to the given initial conditions. 1. dy/dtheta=ysin(theta); y(pi)=3. 2. x^2 dy/dx=y-xy; y(1)=1


Write a program to solve the Cauchy-Euler differential equation
Using the 6 ordinate scheme analyze harmonically the data to third harmonics
X 0 π/3 2π/3 π 4π/3 5π/3 2π
Y 10 12 15. 20. 17. 11. 10

Solve for x and y in the following set of simultaneous differential equations by using D-operator methods: (D-2)x + Dy = 10sin2t

Dx + (D+2)y = 0