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Verify that a file to log Y + c is a solution of differential equation DY DX is equa |
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Answer» Answer: GIVEN xy=logy+c Differentiate on both SIDES ⇒xy ′+y= y1 y ′ ⇒y ′ = 1−xy y 2
We will substitute y′ in given DE and we will verify ⇒(xy−1) 1−xy y 2 +y 2
⇒−y 2 +y 2 =0=RHS Given solution is correct for above differential EQUATION Step-by-step explanation: hope it will HELP you |
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