Question
Which of the following functions $T(t)$ satisfy the differential equation $\frac{d T}{d t}=5[T-20]$ ?(a) $T(t)=20$(b) $T(t)=20 e^{5 t}-20$(c) $T(t)=e^{5 t}+20$(d) $T(t)=20 e^{5 t}+20$
Step 1
The differential equation is \(\frac{dT}{dt} = 5[T - 20]\). Show more…
Show all steps
Your feedback will help us improve your experience
Sirat Shah and 71 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
Which of the following functions are solutions of the differential equation dy/dt - 2ty = t A. y = 2 B. y = -1/2 C. y = e^(t^2) D. y = e^(t^2) - 1/2 E. y = -7e^(t^2) - 1/2
Which of the following is the solution to the differential equation dP/dt + P = 10 with the initial condition P(0) = 4?
Determine whether the following statements are true and give an explanation or counterexample. a. The general solution of $y^{\prime}(t)=20 y$ is $y=e^{20 t}$. b. The functions $y=2 e^{-2 t}$ and $y=10 e^{-2 t}$ do not both satisfy the differential equation $y^{\prime}+2 y=0$. c. The equation $y^{\prime}(t)=t y+2 y+2 t+4$ is not separable. d. A solution of $y^{\prime}(t)=2 \sqrt{y}$ is $y=(t+1)^{2}$.
Integration Techniques
Introduction to Differential Equations
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD