Solve the following ordinary differential equations:
i)
ii)
iii)
इन तीनों ODEs को हल करने के लिए हम न्यूमेरिकल _____ _________ _______ ______ _________ ______ _________ _______ ________ _________.
____ _______ ______ ___ ___.
___ _________ ________ ____ __________ _______ ____ ____.
____ ____ __________ _________ ____ __________ _______.
_____ ________ ___ ______ ______ _______ ____ _______ _________.
_______ __________ ____ ____ ___.
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निम्नलिखित परिसीमा और आदि मान प्रतिबंधों :
u(0,1) = u(π,1) = 0,
u(x,0)=x(n-x) और
के लिए, तरंग समीकरण
का हल प्राप्त करें।
Newton’s Law of Cooling states that the rate at which the object's temperature decreases is directly proportional to the difference between the temperature of the object and the ambient temperature. A cup of tea (temperature = 90°C) is placed in a room whose temperature is 30°C. After five minutes, the temperature of the tea has dropped to 70°C. After how much time would the temperature of the tea be 50°C?
Obtain all the first and second order partial derivatives of the function:
f (x, y) = sin xy
Obtain the Fourier series expansion for the following periodic function which has a period of π:
निम्नलिखित आंशिक अवकल समीकरण को चर पृथक्ककरण विधि द्वारा तीन साधारण अवकल समीकरणों के रूप में लिखें :
Solve the following ODE using the power series method:
(x+2)y"+xy'-y=0
निम्नलिखित साधारण अवकल समीकरणों का हल करें:
i)
ii)
iii)