If $ m $ and $ n $ are order and degree of the differential equation $ \left(\frac{d^{2} y}{d x^{2}}\right)^{5}+4 \cdot \frac{\left(\frac{d^{2} y}{d x^{2}}\right)^{3}}{\frac{d^{3} y}{d x^{3}}}+\frac{d^{3} y}{d x^{3}}=x^{2}-1 $, then the value of $ m+n $ is

Question

If $ m $ and $ n $ are order and degree of the differential equation $ \left(\frac{d^{2} y}{d x^{2}}\right)^{5}+4 \cdot \frac{\left(\frac{d^{2} y}{d x^{2}}\right)^{3}}{\frac{d^{3} y}{d x^{3}}}+\frac{d^{3} y}{d x^{3}}=x^{2}-1 $, then the value of $ m+n $ is,

MARKS App · Accepted Answer

The given differential equation can be written as d 2 y d x 2 5 d 3 y d x 3 + 4 d 2 y d x 2 3 + d 3 y d x 3 2 = x 2 - 1 d 3 y d x 3 ⇒ m = 3 , n = 2

Search any question & find its solution

Looking for more such questions to practice?