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The order and degree of the differential equation (1+3 dy/dx)^(2/3)=4 d³y/dx³ are
- (1, 2/3)
- (3, 1)
- (3, 3)
- (1, 2)
Correct answer: (3, 3)
Solution
The order of a differential equation is determined by the highest derivative present, which in this case is the third derivative, making it order 3. The degree is defined as the power of the highest derivative when the equation is polynomial in form, and since the highest derivative is raised to the power of 1, the degree is also 3.
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