To "let your dreams take flight" or "set your dreams free" are two possible ways to express the concept of "放飞梦想" in English. This phrase can be translated literally as "release your dreams," and it suggests the idea of letting go of any limitations or fears that may be holding you back and allowing your ambitions and aspirations to soar.

The origins of this phrase are unclear, but it is likely inspired by the metaphor of a bird spreading its wings and flying free. In Chinese culture, birds are often seen as symbols of freedom and transcendence, and so the idea of releasing your dreams may be seen as a way of breaking free from constraints and pursuing your goals with determination and enthusiasm.

Here are some examples of how this phrase can be used in English:

"Don't be afraid to let your dreams take flight and pursue your passions with all your heart."

"It's time to set your dreams free and chase your dreams with everything you've got."

"Never give up on your dreams, no matter how impossible they may seem. Let them fly and see where they take you."

In each of these examples, the phrase "放飞梦想" is used to encourage someone to let go of their fears and doubts and to pursue their goals with confidence and determination. It is a reminder that our dreams are important and worth fighting for, and that by setting them free, we can achieve great things.