PU E 2026 Differential Equations Free Quiz 2

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PU E 2026 Differential Equations Free Quiz 2

PU E Quiz

10:00

Answered: 0 / 7

Remaining: 7

Navigator 7 Q

General

General 7 MCQs

11. What is the solution to dy/dx + y = 0?

A. y = Ce^{x} B. y = e^{x} + C C. y = e^{-x} + C D. y = Ce^{-x}

12. What is the solution to dy/dx = 2x?

A. y = x² + C B. y = x² - C C. y = 2x² + C D. y = x²/2 + C

13. When is a differential equation homogeneous?

A. dy/dx = f(x) B. dy/dx = f(y/x) C. dy/dx = f(y) D. dy/dx = f(x,y)

14. What are the applications of differential equations?

A. Population growth, radioactive decay, cooling, electrical circuits B. Population growth only C. Radioactive decay only D. Cooling only

15. What is the differential equation for exponential growth?

A. dP/dt = k B. dP/dt = kP C. dP/dt = k/P D. dP/dt = kP²

16. What is Newton's law of cooling?

A. dT/dt = k(T - T₀) B. dT/dt = -kT C. dT/dt = -k(T - T₀) D. dT/dt = kT

17. What is the solution to dN/dt = -λN?

A. N = N₀ e^{-λt} B. N = N₀ e^{λt} C. N = N₀ + λt D. N = N₀ - λt

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