(C) The given equation is $y=(a+b) \sin (x+c)-d e^{x+e+f}$.Let $A = (a+b)$ and $B = d e^{e+f}$. Then the equation becomes $y = A \sin(x+c) - B e^x$.Th

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(C) The given equation is $y=(a+b) \sin (x+c)-d e^{x+e+f}$.Let $A = (a+b)$ and $B = d e^{e+f}$. Then the equation becomes $y = A \sin(x+c) - B e^x$.There are $3$ independent arbitrary constants: $A$,$c$,and $B$.The order of the differential equation obtained by eliminating $n$ independent arbitrary constants is $n$.Since there are $3$ independent arbitrary constants,the order of the differential equation is $3$.

Class 12 Mathematics Differential Equations Formation of differential equations

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By eliminating the arbitrary constants from $y=(a+b) \sin (x+c)-d e^{x+e+f}$,the differential equation obtained is of order

AP EAMCET 2022 All AP EAMCET

A
$6$
B
$4$
C
$3$
D
$5$

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By eliminating the arbitrary constants from $y=(a+b) \sin (x+c)-d e^{x+e+f}$,the differential equation obtained is of order

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