Problem A9. Conisder an IVP of the form 0" = k(0), 0 (0) 00, 0'(0) = Vo, where k R→ R. (a) Turn the IVP into a system of

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Problem A9 Conisder An Ivp Of The Form 0 K 0 0 0 00 0 0 Vo Where K R R A Turn The Ivp Into A System Of 1 (27.12 KiB) Viewed 39 times

Problem A9. Conisder an IVP of the form 0" = k(0), 0 (0) 00, 0'(0) = Vo, where k R→ R. (a) Turn the IVP into a system of first-order ODE's in the variables y₁ = 0, Y2 = 0'. (b) Show that if the function k is continuously differentiable on an open interval containing 0, then there exists a > 0 and a unique solution 0 [-6, 6]→ R to the IVP.