
Jacob T.
asked 04/01/20Calc AB Need Help. Find the particular solution that passes through the point shown on the graph. Here is the picture of the question
Some of the curves corresponding to different values of C in the general solution of the differential equation are shown in the graph. Find the particular solution that passes through the point shown on the graph. Here is the picture of the question
2x2 − y2 = C
yy' − 2x = 0
x=3 y=4
2 Answers By Expert Tutors

Olivier G. answered 04/01/20
Math Tutor (K-12 + SAT + ACT + AP + Undergrad)
Just plug in x=3, y=4 into the first equation and solve for C:
C=2x2-y2=2(3)2-(4)2=2*9-16=18-16=2
Since C=2 the particular solution is:
2x2-y2=2
Benjamin Odei A. answered 04/06/20
Master of Business Management and by extension Calculus
Main Equation : 2x2 - Y2 = C
X = 3 and Y= 4
In this case, where we find x and y ww shall replace with x and y values.
2(3)2 - 42 = C
C = 2(9) - 16
C = 18 -16
C = 2
Again, YYI - 2X = 0
(4)YI - 2(3) = 0
4YI - 6 = 0
4YI = 6
YI = 6/4 = 3/2
Juliet C.
confusing answer. the second step is unnecessary. guy below is correct.03/21/21
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Olivier G.
Where is the picture?04/01/20