MHT CET · Maths · Differential Equations
The order and degree of the differential equation \(\frac{d^{2} y}{d x^{2}}=\sqrt[3]{1-\left(\frac{d y}{d x}\right)^{4}}\) are respectively
- A 2,3
- B 3,2
- C 2,4
- D 2,2
Answer & Solution
Correct Answer
(A) 2,3
Step-by-step Solution
Detailed explanation
Given differential equation is
\(\frac{d^{2} y}{d x^{2}} =\sqrt[3]{1-\left(\frac{d y}{d x}\right)^{4}}\)
\(\Rightarrow \left(\frac{d^{2} y}{d x^{2}}\right)^{3} =1-\left(\frac{d y}{d x}\right)^{4}\)
\(\therefore \text { Order }=2, \text { degree }=3\)
\(\frac{d^{2} y}{d x^{2}} =\sqrt[3]{1-\left(\frac{d y}{d x}\right)^{4}}\)
\(\Rightarrow \left(\frac{d^{2} y}{d x^{2}}\right)^{3} =1-\left(\frac{d y}{d x}\right)^{4}\)
\(\therefore \text { Order }=2, \text { degree }=3\)
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