First, climb to the altitude you require at Vyse. After level-off, you may be able to maintain Vyse or higher at 75% power on the good engine. If not, take the power required, as you can always change that engine too.

Does Vyse change?

Like other angle-of-attack-related airspeeds, there are no published correction values for VYSE at lighter weights because by definition VYSE exists only at maximum weight. However, the effect of VYSE does decrease with a reduction in aircraft weight.

Why does VIX increase with altitude?

Therefore, dropping straight down from the tangent point (point A) to point B, we find that the best angle of climb speed has increased to 75 knots. And this is the basic reason why Vx increases with altitude.