Question

The deflection of a beam, y(x), satisfies the
differential equation8 *
= Please Calculate all the constant in equation |

Answer #1

26. Find the solution of the differential equation.
y'' +4y' +4y =0 ; y(-1)=2 and y'(-1)=-1

Find a series solution for the differential equation 4y'+ y =
0

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

Solve the differential equation by UC Method. Do not evaluate
the exact value of coefficients.
y^'''+y^''-4y^'-4y=8x+8+6e^-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.

find the solution of the Differential equation
4y''-y=xe^(x/2)

Find the general solution to the differential equation: y’’ – 6
y’ + 13y = 0
Find the general solution to the differential equation: y’’ +
5y’ + 4y = x + cos(x)

x^2y'' − 3xy'+ 4y = 0 ; y(1)=5 y'(1)=3
differential equation using the Cauchy-Euler method

x^2y'' − 3xy'+ 4y = 0 ; y(1)=5 y'(1)=3
differential equation using the Cauchy-Euler method

Solve the following differential equation using taylor series
centered at x=0:
(2+x^2)y''-xy'+4y = 0

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