Solve the differential equation
Plugging the values of y and y'
Lets find the particular solution
Plugging in equation
Solving the second equation
Plugging in 1-st equation
The solution to the DE is
Using the initial condition:
The final solution
The Laplace transform of the product of two functions is the product of the Laplace transforms of each given function. True or False
The Laplace transform of
1 degree on celsius scale is equal to
A) degree on fahrenheit scale
B) degree on fahrenheit scale
C) 1 degree on fahrenheit scale
D) 5 degree on fahrenheit scale
The Laplace transform of is A. B. C. D.
What is the Laplace transform of
Find the general solution of the given differential equation:
The rate at which a body cools is proportional to the difference in
temperature between the body and its surroundings. If a body in air
at 0℃ will cool from 200℃ 𝑡𝑜 100℃ in 40 minutes, how many more
minutes will it take the body to cool from 100℃ 𝑡𝑜 50℃ ?
A body falls from rest against a resistance proportional to the velocity at any instant. If the limiting velocity is 60fps and the body attains half that velocity in 1 second, find the initial velocity.
What's the correct way to go about computing the Inverse Laplace transform of this?
I Completed the square on the bottom but what do you do now?
How to find inverse Laplace transform of the following function?
I tried to use the definition: or the partial fraction expansion but I have not achieved results.
How do i find the lapalace transorm of this intergral using the convolution theorem?
How can I solve this differential equation? :
Find the inverse Laplace transform of
inverse laplace transform - with symbolic variables: