Answer:
10
Step-by-step explanation:
divide each side by -4
5x-1=-49
5x=50
x=10
Answer:
Yes, x(t)+C is also a solution of given equation.
Step-by-step explanation:
We are given that x(t) is a solution of the equation x'=f(x)
We have to show that x(t+c) is also a solution of given equation and check x(t)+c is a solution of equation.
Suppose x'=1
Integrating on both sides
Then , we get
Where C is integration constant.
Now, t replace by t+c
Then, we get
because c+C=K
Different w.r.t then we get
Therefore, x(t+c) is also solution because it satisfied the given equation.
Now, x(t)+C=t+(c+C)=t+L where L=c+C=Constant
Differentiate w.r.t time
Then, we get
Yes, x(t)+C is also solution of given equation because it satisfied given equation