If differential equation corresponding to family of curves y=A 2 x+B ^2 x+C is given by d ^3 y dx ^3 +f( x ) d ^2 y dx ^2 =2 dy dx ( 2 x ) , where is real constant and f( x ) is some function in x , then -

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Quantrex Academy · Accepted Answer

Correct answer: C. Number of solution of equation f(x)= in (0,4) are 2

aligned & y=A 2 x+B ^2 x+C & y=A (1-2 ^2 x )+B ^2 x+C & y=k₁+k₂ ^2 x y^ =k₂ 2 x & y^ =k₂ 2 2 x y^ = 2 y^ 2 x 2 x & 2 x d^2 y d x^2 =2 d y d x ( 2 x) aligned =0 & f(x)= 2 x Solution of 2 x=0 in (0,4) are x= 2 &

If differential equation corresponding to family of curves y=A 2 x+B ^2 x+C is given by d ^3 y dx ^3 +f( x ) d ^2 y dx ^2 =2 dy dx ( 2 x ) , where is real constant and f( x ) is some function in x , then -

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