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Find the general solution of (dy)/(dx)+a...

Find the general solution of `(dy)/(dx)+ay=e^(mx)`

A

`(a+m)y=e^"mx"+c`

B

`ye^"ax"=me^"mx" +c`

C

`y=e^"mx"+ce^"-ax"`

D

`(a+m)y=e^"mx" + ce^(-ax)(a+m)`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  7. y+x^2="dy"/"dx" has the solution

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  9. The solution of (y-3x^2)dx +xdy=0 is

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  12. The general solution of the DE (dy)/(dx) + (y)/(x) = x ^(2) is

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  13. The solution of differential equation cos x dy = y (sin x - y ) dx,...

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  14. The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

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  15. The solution of (dy)/(dx) + y tan x = sec x is

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  18. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

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  19. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

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  20. If x(t) is a solution of ((1+t)dy)/(dx)-t y=1 and y(0)=-1 then y(1)...

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