Ozil almost gave Real Madrid the lead before halftime, his low effort beating Courtois but not the woodwork.
Mesut Ozil should take over his playmaker role behind strikers Claudio Pizarro and either Markus Rosenberg or Aaron Hunt.
Mesut Ozil and Reus spent most of the first half working give-and-go's like a couple of hotshot school kids in a local park.
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But Argentina striker Higuain settled nerves with a fine strike before Ronaldo played in Ozil for a second to make it 2-0 at halftime.
Mourinho also brought on striker Karim Benzema and Mesut Ozil for Higuain and Luka Modric, but Real's best chance was ruled out for offside.
But it was Germany who looked the more likely to score with Howedes going close with a header while Mesut Ozil flashed a drive wide.
Sami Khedira and Mesut Ozil, ironically now in a Real Madrid side shocked by Dortmund in this season's Champions League semifinals, were also in that German team.
Ronaldo gave Real Madrid the perfect start, rising the highest as he has done so many times before and sending a header past Courtois from Mesut Ozil's corner.
In the 57th minute substitute Mesut Ozil set up Higuain, who later gave Benzema a simple chance in time added on for the Frenchman's eighth in the league.
Madrid stayed second in La Liga with a 3-1 victory at home to Betis, as Germany midfielder Mesut Ozil scored twice and France forward Karim Benzema added the other goal.
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First Bastian Schweinsteiger teed up Muller to smash the third past James at his near post, and then Mesut Ozil crossed for the Bayern Munich winger to compound England's misery.
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Substitute Gonzalo Higuain missed a glorious chance to put the game beyond doubt when he somehow contrived to miss from six yards out after a perfect center from Germany international Mesut Ozil.
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Loew took the opportunity to rest the likes of Klose, Ozil and Podolski thereafter and, as a result, the Germans were unable to maintain their fluidity in attack in the closing stages.
Ozil twice had the chance to get on the scoresheet having been sent through one-on-one, his first effort cleared off the line by Lucas Neill and his touch failing him the second time.
That resilience was emphatically underlined by Federico Balzaretti's goalsaving tackle to keep out substitute Marco Reus late on, although Balzaretti's handball in stoppage time did give Ozil the chance to score from the spot.
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"We did what we can do, " Ozil said.
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Real Madrid, meanwhile, came from behind to crush Levante 5-1 as Mesut Ozil scored two late goals after fellow substitute Cristiano Ronaldo also netted -- his 29th in the league, second best behind Messi's 43.
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But the Fulham keeper could do little about Germany's third, Mueller tucking in off the post from the edge of the area, and even less about their fourth, substitute Cacau tapping in from Ozil's centre.
However, the home crowd's relief was shortlived as Ronaldo beat the offside trip to gather Mesut Ozil's fine pass down the right, and the world's most expensive player netted his 54th goal this season from an acute angle.
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In the 25th minute, Reus took a quick pass from Ozil deep on the right side of the German penalty area and sent the ball across an open German goal, just beyond the outstretched leg of a sliding Klose.
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Ronaldo grabbed his second and Real's fourth on 41 minutes when he again finished off a pass from Ozil and the German playmaker was the provider on the stroke of halftime as he sent Di Maria away to grab his second.
Lukas Podolski and Miroslav Klose continued their remarkable scoring record at international level with a goal apiece to take their joint tally to 88, Thomas Mueller and Cacau added the gloss, while in playmaker Mesut Ozil they appear to have found a real superstar.
Germany dominated the play, recording more shots, completing more passes and possessing the ball for roughly 60% of the game but couldn't create a breakthrough and struggled to make the space for its dangerous attacking players, Mesut Ozil and Thomas Muller, to influence the game.
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