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General form of 1st order and 1st degree...

General form of 1st order and 1st degree differential equation; geometrical interpretation and the solution

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STATEMENT-1 : If m and n are respectively order and degree of differential equation , then m and n are mutually independent. STATEMENT-2 : If general solution of a differential equation contains two arbitrary constants, then its order is 2. STATEMENT-3 : The order and degree of differential equation sqrt(1+((dy)/(dx))^(2)) = (x(d^(2)y)/(dx^(2)))^(1//3) are 2 and 2 respectively.

General solution of the differential equation (dy)/(dx)=1+x + y is