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Differential Equations question

2019 · 9 Apr · Shift 1 · Q41
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  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Differential Equations
  5. /2019 · 9 Apr · Shift 1 · Q41

Differential Equations question

2019 · 9 Apr · Shift 1 · Q41

JEE MainMathematicsDifferential EquationsMCQ+4 / −1
The solution of the differential equation xdydx+2yx{{dy} \over {dx}} + 2yxdxdy​+2y= x2 (x eee 0) with y(1) = 1, is :
  1. A
    y=45x3+15x2y = {4 \over 5}{x^3} + {1 \over {5{x^2}}}y=54​x3+5x21​
  2. B
    y=34x2+14x2y = {3 \over 4}{x^2} + {1 \over {4{x^2}}}y=43​x2+4x21​
  3. C
    y=x24+34x2y = {{{x^2}} \over 4} + {3 \over {4{x^2}}}y=4x2​+4x23​
  4. D
    y=x35+15x2y = {{{x^3}} \over 5} + {1 \over {5{x^2}}}y=5x3​+5x21​
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