1. For each ODE below give the order, indicate the dependent and independent variables, and whether the DE is linear or nonlinear. (a) Shortest time problem, Galileo 1630: 2 dy y |1+ dr = C (b) Van...

1. For each ODE below give the order, indicate the dependent<br>and independent variables, and whether the DE is linear or<br>nonlinear.<br>(a) Shortest time problem, Galileo 1630:<br>2<br>dy<br>y |1+<br>dr<br>= C<br>(b) Van der Pol's equation, triode vacuum tube:<br>dy<br>– 0.1(1 – y²).<br>dy<br>+ 9y = 0<br>d.x<br>%3D<br>|<br>dx?<br>(e) 3 dar = t3 + xt<br>dt<br>dy<br>(d)<br>dx?<br>dy<br>= COS x<br>-<br>dx<br>dy<br>(e)<br>+ sin x – y = 0<br>dx<br>

Extracted text: 1. For each ODE below give the order, indicate the dependent and independent variables, and whether the DE is linear or nonlinear. (a) Shortest time problem, Galileo 1630: 2 dy y |1+ dr = C (b) Van der Pol's equation, triode vacuum tube: dy – 0.1(1 – y²). dy + 9y = 0 d.x %3D | dx? (e) 3 dar = t3 + xt dt dy (d) dx? dy = COS x - dx dy (e) + sin x – y = 0 dx

Jun 04, 2022

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1. For each ODE below give the order, indicate the dependent and independent variables, and whether the DE is linear or nonlinear. (a) Shortest time problem, Galileo 1630: 2 dy y |1+ dr = C (b) Van...

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