Question

1249) The solution of some second order linear DEQ is exp(-1x)[5sin(3x)+ 2cos(3x)] which can also be expressed as A*exp(-D*x)*sin(F*x+G). Determine A,D,F, and G (degrees). ans:4

1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solution of the second order linear differential equation: (y'') + ( -8y') + ( -9y) = ( -8) + ( 3)x. Find A,B,F,G, where A>B. This exercise may show "+ (-#)" which should be enterered into the calculator as "-#", and not "+-#". ans:4

Answer #1

1249) The solution of some second order linear DEQ is
exp(-9x)[9sin(1x)+ 3cos(1x)] which
can also be expressed as
A*exp(-D*x)*sin(F*x+G). Determine A,D,F, and G (degrees). ans:4

1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solution of
the second order linear differential equation:
(y'') + ( -9y') + ( 20y) = ( -9) + ( -8)x. Find A,B,F,G, where
A>B. This exercise may show "+ (-#)" which should be enterered into
the calculator as "-#", and not "+-#". ans:4

1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solution of
the second order linear differential equation:
(y'') + ( -4y') + ( 3y) = ( 2) + ( -7)x. Find A,B,F,G, where
A>B.

1250) y=Aexp(Bx)+Fexp(Gx) is the particular solution of
the second order linear differential equation:
(y'') + ( 2y') + (-24y) = 0, subject to the boundary conditions:
y=4, and y'=1 when x=0. Find A,B,F, and G, where B>G.

1242) y=A x ln(x) + B x + F is the particular solution of the second-order
linear DEQ: xy'' =9 where y'=3 at the point (3,3).
Determine A,B,F. y=A x ln(x) + B x + F is also called an explicit
solution. Is the DEQ separable, exact, 1st-order linear, Bernouli?
Please help solve this question. Find A,B,and F.

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