What is expand 2x+y(cos(t))+(2y+x)e^t ?

The solution to expand 2x+y(cos(t))+(2y+x)e^t is 2x+ycos(t)+2e^ty+e^tx

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expand 2x+y(cos(t))+(2y+x)e^t

expand

2 x + y (cos (t)) + (2 y + x) e^{t}

2 x + y cos (t) + 2 e^{t} y + e^{t} x

Solution steps

2 x + y (cos (t)) + (2 y + x) e^{t}

= 2 x + y (cos (t)) + e^{t} (2 y + x)

Expand

e^{t} (2 y + x) : 2 e^{t} y + e^{t} x

= 2 x + y (cos (t)) + 2 e^{t} y + e^{t} x

Remove parentheses:

(a) = a

= 2 x + y cos (t) + 2 e^{t} y + e^{t} x

\frac{3 ( 2 x - 1 ) ^{2}}{2 x}

\frac{3 x ^{2} - 6 x + 2}{2 ( 4 - 3 y ^{2} + 2 y ^{3} - 4 y )}

\frac{2}{( x - 2 ) ( x - 5 )}

x d x + (y - 2 x) d y

\frac{3 x ^{2} ( y + 1 ) - 2 ( x + 1 ) y ^{2} + x y}{3 x - 2 y}

What is expand 2x+y(cos(t))+(2y+x)e^t ?
The solution to expand 2x+y(cos(t))+(2y+x)e^t is 2x+ycos(t)+2e^ty+e^tx