General and particular solutions
Differential equations (introductory) · Mathematics
Study notes
Q: Solve dy/dx = 2x with y(0) = 5. General and particular? General: y = x^2 + C (one constant, order 1). Particular: y(0) = 0 + C = 5, so C = 5. Particular solution: y = x^2 + 5 - the single curve through (0,5).