What is expand (sin(y)-ysin(x))dy ?

The solution to expand (sin(y)-ysin(x))dy is sin(y)dy-ysin(x)dy

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expand (sin(y)-ysin(x))dy

expand

(sin (y) - y sin (x)) d y

sin (y) d y - y sin (x) d y

Solution steps

(sin (y) - y sin (x)) d y

Apply the distributive law:

a (b - c) = ab - a c

a = d y, b = sin (y), c = y sin (x)

= d y sin (y) - d yy sin (x)

= sin (y) d y - y sin (x) d y

e^{2 x} (y - 2)

- 2 (4 x ln (x) + 2 x)

\frac{3 y ( 4 y + 1 )}{7 ( 4 y - 1 )}

\frac{121 ( 3 π - 8 )}{8} + 121 π

\frac{2}{27} (3 e^{3 x} x - e^{3 x})

What is expand (sin(y)-ysin(x))dy ?
The solution to expand (sin(y)-ysin(x))dy is sin(y)dy-ysin(x)dy