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The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y).
Solution)(dy/dx) +x^2 = x^2*e^(3y)
dy/dx=x2(e3y-1)x2dx=dy/(e3y-1)this is an elementary, variables separable equation
Each of the series 3+5+7+..... and 4+7+10.......... is continued to 100 terms find how many terms are identical. Ans) 48 terms would be common to both the series... first take co
f Y is a discrete random variable with expected value E[Y ] = µ and if X = a + bY , prove that Var (X) = b2Var (Y ) .
It is difficult to produce the individual answers and the insights that they were providing. But, let's look at some broad patterns that we found, which are similar to those that o
the andersons are buying a new home and need to fence their yard. the yard is 40 ft by 80 ft. each fencing section is 8ft. how many sections will they need?how many posts will they
Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the
Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92
Define a complete lattice and give one example. Ans: A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound
Find out a series solution for the following differential equation about x 0 = 0 y′′ + y = 0. Solution Note that in this case p(x)=1 and therefore every point is an or
To solve out linear equations we will make heavy use of the following facts. 1. If a = b then a + c = b + c for any c. All it is saying that we can add number, c, to both sides
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