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Solve the following initial value problems using method of undetermined coefficients: (i) y−9y = ex+x−1, y(0) = −1,y(0) = 1,


Use variation of parameter methods to find the particular solution of xy−(x+1)y+y = x2, given that y1(x) = ex and y2(x) = x + 1 form a fundamental set of solutions for the corresponding homogeneous differential equation.


dx/dt + 3x - 2y = 1 , dy/dt - 2x + 3y = e^


solve the initial value problems y''-2y'+2y=0,y(0)=0,y'(0)=1


(D2+DD')Z=sin(x+y)



Revenue A manufacturer produces three models of portable CD players, which are shipped to two warehouses. The number of units of model that are shipped to warehouse j

j is represented by a

ij

aij in the matrix

A=⎡

5,000

6,000

8,000

4,000

10,000

5,000

A=[5,0004,0006,00010,0008,0005,000]


B=[$39.50$44.50$56.50]

B=[$39.50$44.50$56.50]

Compute BA

BA and state what each entry of the product represents.


The given differential equation (1-6y^2-3x^2y)

Solution of differential equation p^ 2 +5p+6=0 is...

a curve is such that d²y/dx²=12x-12. find the equation at point (2,9)?


(2xy-y^2+2x) dx-(2xy-x^2-2y) dy=0?



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