(a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the form y(x) = A + Be^((x^2)/2) for any constant B. A=?(b) If y(0) = 5, find BB=?
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![(a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the form y(x) = A + Be^((x^2)/2) for any constant B. A=?(b) If y(0) = 5, find BB=?](/uploads/image/z/6948819-27-9.jpg?t=%28a%29+Find+the+value+of+A+so+that+the+equation+y+%27+-+xy+-+6x+%3D+0+has+a+solution+of+the+form++++y%28x%29+%3D+A+%2B+Be%5E%28%28x%5E2%29%2F2%29+for+any+constant+B.+A%3D%3F%28b%29+If+y%280%29+%3D+5%2C+find+BB%3D%3F)
(a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the form y(x) = A + Be^((x^2)/2) for any constant B. A=?(b) If y(0) = 5, find BB=?
(a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the form y(x) = A + Be^((x^2)/2) for any constant B.
A=?
(b) If y(0) = 5, find B
B=?
(a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the form y(x) = A + Be^((x^2)/2) for any constant B. A=?(b) If y(0) = 5, find BB=?
(a)
y ' - xy - 6x = 0
(A + Be^((x^2)/2))'-x(A + Be^((x^2)/2))-6x=0
Bxe^((x^2)/2))-Ax-Bx((x^2)/2))-6x=0
-Ax-6x=0
A=-6
(b)
y(x)=-6+Be^((x^2)/2)
y(0)=5,-6+B=5
B=11