Home › Bihar Board Class 12 (Commerce) › Mathematics › Differential Equations › Solving dy/dx = -x/y by separating variables gives
Solving dy/dx = -x/y by separating variables gives
Ax² - y² = c
By = -x² + c
Cx² + y² = c
Dxy = c
Answer & Solution
Correct answer: C. x² + y² = c
Separating gives y dy = -x dx, and integrating gives y²/2 = -x²/2 + c, so x² + y² = c'.
Related questions
The thin-film equation, an exception among natural laws, is of which order?Newton's laws give a differential equation for which unknown?Which equation mixes derivatives with integrals of the unknown?An equation whose unknown is a random process is called what?A derivative depending on earlier function values gives which equation?The harmonic oscillator equation approximates which nonlinear equation for small amplitudeWhich theorem gives existence of a first-order solution?In a difference equation, the independent variable takes what kind of values?