What is expand (t+2y)dy+(y+3t^2)dt ?

The solution to expand (t+2y)dy+(y+3t^2)dt is tdy+2ydy+ydt+3t^2dt

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expand (t+2y)dy+(y+3t^2)dt

expand

(t + 2 y) d y + (y + 3 t^{2}) d t

t d y + 2 y d y + y d t + 3 t^{2} d t

Solution steps

(t + 2 y) d y + (y + 3 t^{2}) d t

Expand

d y (t + 2 y) : t d y + 2 y d y

= t d y + 2 y d y + (y + 3 t^{2}) d t

Expand

d t (y + 3 t^{2}) : y d t + 3 t^{2} d t

= t d y + 2 y d y + y d t + 3 t^{2} d t

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\frac{( 7 q ^{2} + 4 ) ^{2}}{49}

\frac{5 ^{n - 1}}{( n + 1 ) ^{2} 4 ^{n}}

5 (x^{2} + y^{2}) e^{y^{2} - x^{2}}

What is expand (t+2y)dy+(y+3t^2)dt ?
The solution to expand (t+2y)dy+(y+3t^2)dt is tdy+2ydy+ydt+3t^2dt