Home › AP EAPCET (Engineering) › Mathematics › Differential Equations › A differential equation is (d²y/dx²)³ + (dy/dx)⁴…
A differential equation is (d²y/dx²)³ + (dy/dx)⁴ + y = 0. What are its order and degree?
AOrder 3, degree 2
BOrder 2, degree 3
COrder 2, degree 4
DOrder 3, degree 4
Answer & Solution
Correct answer: B. Order 2, degree 3
The highest derivative is d²y/dx², so the order is 2, and it is raised to the power 3, so the degree is 3.
Related questions
Which equation expresses Newton's law of cooling for body temperature θ and surroundings θA body at 60°C cools in a room at 20°C. By Newton's law its rate of cooling is proportionaFor x = x0 e^(-kt), what fraction of x0 remains at time t = 1/k?Why is there a negative sign in dx/dt = -kx for radioactive decay?A radioactive element has a half life of 10 years. How much of a 640 g sample remains afteA radioactive sample has a half life of 5 days. Of 800 mg, how much remains after 15 days?In the growth solution P = c e^(kt), what does the constant c represent?A population grows with dP/dt = kP and triples in 2 hours. How long will it take to become