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How to arrange $e^3,3^e,e^{\\pi},\\pi^e,3^{\\pi},\\pi^3$ in the . . . The final ordering of the six numbers is therefore 3e <e3 <πe <eπ <π3 <3π 3 e <e 3 <π e <e π <π 3 <3 π As an aside, we've used a number of the properties of e e and log log during the derivations, so an incorrect estimate for e e could easily throw the order off However, we haven't used any of the specific properties of 3 3 or π π
If the Wronskian W of $f$ and $g$ is $3e^{4t}$, and if $f(t) = e^{2t . . . I'm struggling with a seemingly simple problem in differential equations If the Wronskian W of f f and g g is 3e4t 3 e 4 t, and if f(t) =e2t f (t) = e 2 t, find g(t) g (t) So from that I made a first order linear differential equation that is
calculator - how do you define the decimals indicator: E-3 . . . Sorry for the terrible question, but how do you define E-3, which is used in the calculators to indicate that the first 3 decimals in the number are not displayed ? 0 000563 = 5 63E-3 I need to wr
Integral of $\\int z^3 e^z$ - Mathematics Stack Exchange I am not sure how I am suppose to do this so I set it up normally ∫z3ez ∫ z 3 e z u = z3dx u = z 3 d x du = 3z2 d u = 3 z 2 dv =ez d v = e z v =ez v = e z ezz3 − ∫ez3z2 e z z 3 ∫ e z 3 z 2 This then leads to a loop of integration by part and I am not sure what to do
Particular Solution of $y - 3y - 4y = 3e^{2t}$ I took this example out of the textbook but I am unable to understand one part - after hours staring at it For just the particular solution, $$ Y (t) = Ae^ {2t} $$ $$ Y' (t) = 2Ae^ {2t} $$ $$ Y'' (t