Home › CBSE Class 12 (Commerce) › Mathematics › Differential Equations › Find the curve through (0, 2) satisfying dy/dx =…
Find the curve through (0, 2) satisfying dy/dx = x/y.
Ay^2 = 2x^2 + 4
By^2 = x^2 + 2
Cy = x + 2
Dy^2 = x^2 + 4
Answer & Solution
Correct answer: D. y^2 = x^2 + 4
y dy = x dx gives y^2 = x^2 + C, and (0, 2) gives C = 4.
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