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13 Nov 2019
I figured out A and D , I just need help with B and C
IV. (Transforming a linear first order ODE) Consider the initial value problem: +y(t) = t, y(0) = 1 A. Verify that y(t)-2et-1 is a solution. (Don't forget to verify this satisfies the differential equation and the initial condition!) B. Let Y(s)-ãy(t)e-st dt. Show thatãdye-st dt-sY(s)-1. Hint: Think integration by parts. You may assume lim y(t)e 0. The initial condition y(o) - 1 should be important in your work somewhere!
I figured out A and D , I just need help with B and C
IV. (Transforming a linear first order ODE) Consider the initial value problem: +y(t) = t, y(0) = 1 A. Verify that y(t)-2et-1 is a solution. (Don't forget to verify this satisfies the differential equation and the initial condition!) B. Let Y(s)-ãy(t)e-st dt. Show thatãdye-st dt-sY(s)-1. Hint: Think integration by parts. You may assume lim y(t)e 0. The initial condition y(o) - 1 should be important in your work somewhere!
Reid WolffLv2
13 Nov 2019