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The order of the differential equation whose general solution is given by y=c, cos (2x + c)- (c, + c,)ae+ c sin(x - c,), is
The order of the differential equation whose general solution is given by y=c, cos (2x + C)- (C, + c,)ae+ C sin(x - c,), is
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Priyadarshan Choursiya Best Answer
number of arbitrary constants equal to order. but when we solve for the constants then solve and assign them other constant. here Ci, i=1to 7 are arbitrary constants here we think that 7 constants are present so order of DE is 7 but actually you see that c3+c4 can be written as other constant say c8 and a^(X+c5) can be written as a^x * a^c5 this a^c5 can be assume new constant c9. now we have c8*c9 say it c10 thus we have constants c1,c2,c10, c6,c7. here c10 is new constant = (c3+c4)*a^c5. hence order is 5.
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