A loosely coiled chain lying on a horizontal platform begins slide over the edge. The speed...

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A loosely coiled chain lying on a horizontal platform begins slide over the edge. The speed v of the chain is related to the length x that has fallen by ODE: dv xv+v² = 32x dx X to (a) Rewrite the given equation in differential form, and show that it is not exact. (b) Multiply your equation in part (a) by the integrating factor: u(x) = x; show that this makes the equation exact. (c) Solve your equation from part (b). A loosely coiled chain lying on a horizontal platform begins slide over the edge. The speed v of the chain is related to the length x that has fallen by ODE: dv xv+v² = 32x dx X to (a) Rewrite the given equation in differential form, and show that it is not exact. (b) Multiply your equation in part (a) by the integrating factor: u(x) = x; show that this makes the equation exact. (c) Solve your equation from part (b).

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aj Given ODE bj Differential farm ej xduv 32x dx uxdu udx 3222 xudu 32x dx 0 Test of ... View the full answer