Recent content by ManMonkeyFish

  1. M

    Magnetic Flux (Induction - Magnet through a coil)

    Is the incoming flux (first peak) equal in magnitude to the outgoing (second peak) flux? Why? A magnet was dropped through a solenoid, this experiment was completed twice, a graph of Voltage (V) vs. Time (t) was made for each experiment. The area under each curve is defined to be equivalent to...
  2. M

    Initial Value problem with complex roots

    So as long as the "guess" fits the form and works it is allowed? So using an equation and setting it equal to the value given, then plugging in the value in the leftside only is acceptable? Thanks!
  3. M

    Initial Value problem with complex roots

    HallsofIvy is this the proper way? Y(p) = 1/4 Y(t) = k (k is a constant) Y''(t) = 0 so 4k = 1 k = 1/4 Which leads to the first y(0) => 2 = C1Cos(2t) + C2Sin(2t) + 1/4 (not 1 :cry: ) y'(0) => -1 = -2C1Sin(2t) + 2C2Cos(2t) C1 = 9/4 C2 = -1/2 which gives y =...
  4. M

    Calculus Integration Problem: Need Help from Math Experts!

    Did you try a U substition with U = X^2 - X and dU = 2x - 1 dx?
  5. M

    Initial Value problem with complex roots

    1.Solve the following initial value problem d^2y/dt^2 + 4y = { 1, 0<= t <=Pi/2 } {sin(t), Pi/2 < t} y(0) = 2 y'(0) = -1 I used y(t) = e^rt 3. For y'' + 4y' =1 y(t)= e^rt Yp(0)=1 r^2+4 = 0 r = 2i y1(t) = C1 Cos(2t) +...
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