Sentence examples for multiplied the first from inspiring English sources

In LT Boole simply multiplied the first equation by v to obtain vx  =  vvy  =  vy.

We use to multiply the first equation in the system (4.9) and then integrate over.

We merely multiply the first equation of (33) by and integrate by parts over.

Multiplying the first equation in (1.1) by (u^{p-1}) and integrate on Ω by parts.

Multiplying the first equation of (1.1) by (u_{t}), integrating over Ω, we obtain (2.5).

Multiply the first equation of (1.4) by for and integrate by parts over to obtain (4.19).

Multiplying the first equation of (1.1) by and integrating over, we get (4.1).

Multiplying the first equation of (2.1) by and the second one by, adding the result, and noting, we have (2.13).