What is first order homogeneous differential equation?
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Step-by-step explanation:
A first‐order differential equation is said to be homogeneous if M( x,y) and N( x,y) are both homogeneous functions of the same degree. ... The method for solving homogeneous equations follows from this fact: The substitution y = xu (and therefore dy = xdu + udx) transforms a homogeneous equation into a separable one.
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A first‐order differential equation is said to be homogeneous if M( x,y) and N( x,y) are both homogeneous functions of the same degree. ... The method for solving homogeneous equations follows from this fact: The substitution y = xu (and therefore dy = xdu + udx) transforms a homogeneous equation into a separable one.
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