Differential EquationHard
Question
he solution of the differential equation y1 y3 = 3y22 is
Options
A.x = A1y2 + A2 y + A3
B.x = A1 y + A2
C.x = A1 y2 + A2 y
D.none of these
Solution
y1y3 = 3y22
⇒ ln y2 = 3ln y1 + ln c
y2 = cy13
= cy1
-
= cy + c2
= - cy - c2
x = -
- c2y + c3
∴ x = A1y2 + A2y + A3
⇒ ln y2 = 3ln y1 + ln cy2 = cy13
= cy1-
= cy + c2 = - cy - c2x = -
- c2y + c3∴ x = A1y2 + A2y + A3
Create a free account to view solution
View Solution FreeMore Differential Equation Questions
The general solution of differential equation (4 + 5 sin x) = cos x is-...Equation of curve passing through ( 3,9) which satisfies the differential equation = x + , is-...If y(x) is the solution of the differential equation (x + 2) dy/dx = x2 + 4x − 9, x ≠ − 2 and y(0) = 0...The solution of the differential equation dy = sec2 x dx is-...The order and degree of differential equation (xy2 + x) dx + (y − x2 y) dy = 0 are-...