# Solution - General and Particular Solutions of a Differential Equation

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#### Question

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

#### Solution

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The differential equation of y=c/x+c2 is :

(a)x^4(dy/dx)^2-xdy/dx=y

(b)(d^2y)/dx^2+xdy/dx+y=0

(c)x^3(dy/dx)^2+xdy/dx=y

(d)(d^2y)/dx^2+dy/dx-y=0

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Find the particular solution of differential equation:

dy/dx=-(x+ycosx)/(1+sinx) " given that " y= 1 " when "x = 0

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Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

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The solution of the differential equation dy/dx = sec x – y tan x is:

(A) y sec x = tan x + c

(B) y sec x + tan x = c

(C) sec x = y tan x + c

(D) sec x + y tan x = c

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Find the particular solution of the differential equation  e^xsqrt(1-y^2)dx+y/xdy=0 , given that y=1 when x=0

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#### Reference Material

Solution for concept: General and Particular Solutions of a Differential Equation. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science)
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