Differential equation
1. Solve the following differential equation:
-2yy' +3x^2 SQRT(4-y^2) =5x^2 SQRT(4-y^2) , -2 < y < +2
2. Let f(x) = ax^2 , a>0 , and g(x) = x^3
Find the value of a which yields an area of PI (i.e. 3.14159) for region bounded by figure, y-axis and line x=1.
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Solution Preview
1. Solve the following differential equation:
We have ,
. This can be solved by using variables separable method.
Integrating, we get is the ...
Solution Summary
Differential equation is reiterated. The area of bounded regions are determined.
$2.49