Q Write the order and degree of the differential equation 2d2ydx2+31-dydx2-y=0 - Maths - Differential Equations

Question

Q Write the order and degree of the differential equation 2 d 2 y d
x 2 + 3 1 - d y d x 2 - y = 0

Aarushi Mishra · Accepted Answer

Before seeing degree one needs to make the power of all differential term intgral, for that we wil be squaring to remove square root2d2ydx2+31-dydx2-y=02d2ydx2=-31-dydx2-y4d2ydx22=91-dydx2-yOrder=highest order differential term=2Degree=highest power i
e
 degree of the highest order differential term=2

Q. Write the order and degree of the differential equation 2 d 2 y d x 2 + 3 1 - d y d x 2 - y = 0 .

Q. Write the order and degree of the differential equation $2 \frac{d^{2} y}{d x^{2}} + 3 \sqrt{1 - {(\frac{d y}{d x})}^{2} - y} = 0$ .