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Q4A-130 - Math 415 Name Quiz 4A Find a dierential equation...

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Math 415 Name: Quiz 4A Find a differential equation whose general solution is y ( t ) = C 1 e 2 t + C 2 e - 3 t . The solutions could have come from the characteristic equation 0 = ( r - 2)( r + 3) = r 2 + r - 6. So the differential equation y 00 + y 0 - 6 y = 0 would work. If the Wronskian of f ( t ) and g ( t ) is t 2 e t and f ( t ) = t , find g ( t ). The Wronskian of two functions can be written as fg 0 -
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