Determine whether the equation is exact. If it is, then solve it (4x^3y+6)*dx+(x^4-3)*dy=0

ajakanvao

ajakanvao

Answered question

2022-11-08

Determine whether the equation is exact. If it is, then solve it ( 4 x 3 y + 6 ) d x + ( x 4 3 ) d y = 0

Answer & Explanation

meexeniexia17h

meexeniexia17h

Beginner2022-11-09Added 18 answers

Solution
Given differential equation,
( 4 x 3 y + 6 ) d x + ( x 4 3 ) d y = 0
Comparing standard equation
m dx+n dy=0
m = 4 x 3 y + 6 , n = x 4 3 m y = 4 x 3         n x = 4 x 3
Given differential equation equation is
m d x + n d y = 0 ( 4 x 3 y + 6 ) d x + ( x 4 3 ) d y = 0 x 4 y + 6 x 3 y = C
option A is correct

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