Homework SourseThe functions y x2 c x2 are all solutions of equation xy 2
The functions
y = x2 + c
x2
are all solutions of equation:
xy?+ 2y = 4x2, (x > 0).
Find the constant c which produces a solution which also satisfies the initial condition y(6) = 7.
y = x2 + c
x2
are all solutions of equation:
xy?+ 2y = 4x2, (x > 0).
Find the constant c which produces a solution which also satisfies the initial condition y(6) = 7.
Solution
The functions
y = x2 + c
x2
are all solutions of equation:
xy+ 2y = 4x2, (x > 0).
Find the constant c which produces a solution which also satisfies the initial condition y(6) = 7.
y = x2 + c
7 = 6^2 + C
C = 7-36 = -29
y = x2 -29
