y''+4y=0 y(0)=0 y'(0)=1
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y(x) obeys the differential equation d2y/dx2 = -y for x greaterthan or equal to 0, with boundary values y(0) = 1; (dy/dx)0 =1.(A) Find x where y = 0.(B) Find the maximum value of y(x).
1) Solve the followinginitialvalue problems and check your work:
a) yâ = 5y with y(0) =2
b) yââ - 2yâ -8y = 0 with y(0) = 1and yâ(0) = 3
c) yâ = y ( sin(t) + t )with y(0)= 1
A current of 1.0Aflows along the z axis in the positive z direction from point(0,0,0) to point (x = 0, y = 0, z = 1:0 m). Find the magnetic field(bothdirection and magnitude) created by the current at the followingpoints ofinterest.(a) P1 at (x = 1:0 m, y = 0:0 m, z = -1:0 m)(b) P2 at (x = 0:0 m, y = 1:0 m, z = 1:0 m)