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Suppose that x = x (t ) and y = y (t ) and differentiate the following equation with respect to t.
Solution x3 y6 + e1- x - cos (5 y ) = y 2
Thus, just differentiate as normal & add on proper derivative at each step. Note that the first term will be a product rule as both x and y is functions of t.
3x2 x′y6 + 6x3 y5 y′ - x′e1- x + 5 y′ sin (5 y) = 2 yy′
There actually isn't all that much to this problem. As there are two derivatives in the problem we won't be bothering to solve out for one of them.
At this point there doesn't appear be any real purpose for doing this kind of problem,
x+8/2=5x/6
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
The picture frame given below has outer dimensions of 8 in by 10 in and inner dimensions of 6 in by 8 in. Find the area of section A of the frame. a. 18 in 2 b. 14 in 2
6987+746-212*7665
do you have 3 digit and 4 digit number problem
Before we find into finding series solutions to differential equations we require determining when we can get series solutions to differential equations. Therefore, let's start wit
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Q. Explain Binomial Distribution? Ans. The binomial distribution occurs when you are considering the probability function of a binomial experiment. Binomial Experiment
Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As: r 2 - 4r + 9 = 0
A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l
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