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Find the particular solution of the d...

Find the particular solution of the differential equation `log(dy)/(dx)=3x+4y` given that `y" "=" "0` when`x" "=" "0` .

A

`4e^(3x)+3e^(-4y)+7=0`

B

`4e^(3x)+3e^(-4y)-7=0`

C

`4e^(3x)+ 3e^(-4y)-7=0`

D

`4e^(3x)-3e^(-4y)+7=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. Particular solution of differential equation e^("dy"/"dx") =x:y (1) = ...

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  2. The solution of log.(dy)/(dx)=x when y=1 and x=0 is :

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  3. Find the particular solution of the differential equation log(dy)/(...

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  4. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

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  5. If "dy"/"dx"=1-y and y(0)=3, then y(loge 8) is equal to

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  6. The particular solution of the differential equation y(1+log x...

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  7. Solution of the differential equation sin((dy)/(dx))=a with y(0)=1 is

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  8. if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)= ...

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  9. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  10. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  11. At any point on a curve , the slope of the tangent is equal to the sum...

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  12. The general solution of the D.E. (dy)/(dx)=(x+y+1)/(x+y-1) is :

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  13. solution of (x + y)^2(dy)/(dx)=a^2. ('a', being a constant) is

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  14. Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

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  15. The solution of the differential equation (dy)/(dx) = (x-2y+1)/(2x...

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  16. The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)...

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  17. The solution of cos(x + y) dy = dx is

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  18. The general solution of differential equation (dx) /( dy) = co...

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  19. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

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  20. The solution of the equation (dy)/(dx)=(x+y)/(x-y), is

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