Question
Solve the differential equation: .
Answer :
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Let (u = x + y). Then [ \frac{du}{dx} = 1 + \frac{dy}{dx}. ] Given (\frac{dy}{dx} = (x+y)^2 = u^2), we
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Related Questions
आंशिक अवकल समीकरण :$
का समाकल पृष्ठ ज्ञात कीजिए जो वृत्त से गुजरता हो।
Using the method of undetermined coefficients, solve the differential equation:
Solve: .
मान लीजिए एक थर्मामीटर जिसके घर के अंदर रीडिंग है, उसे बाहर रखा जाता है, जहाँ वायु तापमान
है। दो मिनट के बाद थर्मामीटर की रीडिंग
पाई जाती है। किसी भी समय t पर थर्मामीटर के तापमान की रीडिंग T(t) ज्ञात कीजिए।
हल कीजिए :
State whether the following statements are true or false. Justify your answer with the help of a short proof or a counter example:
a) y2 is an integrating factor of the differential equation:
.
) हल कीजिए :