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The general solution of a differentia...

The general solution of a differential equation of the type `(dx)/(dy)+P_1x=Q_1` is (A) `y e^(intP_1dy)=int(Q_1e^(intP_1dy))dy+C` (B) `ydote^(intP_1dx)=int(Q_1e^(intP_1dx))dx+C` (C) `x e^(intP_1dy)=int(Q_1e^(intP_1dy))dy+C` (D) `x e^(intP_1dx)

A

`y e^(int P_(1)dy)= int(Q_(1)e^(int P_(1)dy))dy+C`

B

`y .e^(int P_(1)dx)= int(Q_(1)e^(int P_(1)dx))dx+C`

C

`x e^(int P_(1)dy)= int(Q_(1)e^(int P_(1)dy))dy+C`

D

`x e^(int P_(1)dx)= int(Q_(1)e^(int P_(1)dx))dx+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Miscellaneous Exercise on Chapter 9
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  8. Solve the differential equation(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0

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  9. Show that the general solution of the differentia equation (dy)/(dx...

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  10. Find the equation of the curve passing through the point (0,pi/4) w...

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  11. Find the particular solution of the differential equation (1+e^(2x))dy...

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  13. Solve (x-y)(dx+dy)=dx-dy, given that y=-1, where x=0.

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  14. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0

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  15. Find the particular solution of the differential equation. (dy)/(dx...

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  16. Find a particular solution of the differential equation (x+1)(dy)/(dx...

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  17. The population of a village increases continuously at the rate proport...

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  18. The general solution of the differential equation (ydx-xdy)/(y)=0 is :

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  19. The general solution of a differential equation of the type (dx)/(d...

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  20. The general solution of the differential equation e x" "dy" "+" "(y...

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