What is expand (12y+2t-5)dt+(6y+12t-1)dy ?

The solution to expand (12y+2t-5)dt+(6y+12t-1)dy is 12ydt+2tdt-5dt+6ydy+12tdy-dy

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expand (12y+2t-5)dt+(6y+12t-1)dy

expand

(12 y + 2 t - 5) d t + (6 y + 12 t - 1) d y

12 y d t + 2 t d t - 5 d t + 6 y d y + 12 t d y - d y

Solution steps

(12 y + 2 t - 5) d t + (6 y + 12 t - 1) d y

Expand

d t (12 y + 2 t - 5) : 12 y d t + 2 t d t - 5 d t

= 12 y d t + 2 t d t - 5 d t + (6 y + 12 t - 1) d y

Expand

d y (6 y + 12 t - 1) : 6 y d y + 12 t d y - d y

= 12 y d t + 2 t d t - 5 d t + 6 y d y + 12 t d y - d y

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What is expand (12y+2t-5)dt+(6y+12t-1)dy ?
The solution to expand (12y+2t-5)dt+(6y+12t-1)dy is 12ydt+2tdt-5dt+6ydy+12tdy-dy