The initial value equation is
The equation is given as:
Where
Y(0) = 1
Subtract 2y from both sides in the equation
Rewrite as:
Integrate both sides of the equation
Multiply through by -2
Take the exponent of both sides
Next, we solve for C under the initial condition Y(0) = 1.
This gives
Evaluate
-2 + 3 = C
Solve for C
C = 1
Substitute C = 1 in
Next, we solve for y
Hence, the initial value equation is
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Answer:
Stefan spend $120 originally.
Stefan made $72 by selling bicycle and helmet to Jim.
Step-by-step explanation:
Given:
Cost of bicycle = $175
Cost of Helmet = $17
Percent of total cost of Jim = 160% of original cost of Stefan
We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.
Solution:
Let the Amount Stefan spend originally be 'x'.
Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.
framing in equation form we get;
Total Cost of Jim =
Now we know that;
Total Cost of Jim is equal to 160% of Amount Stefan spend originally.
framing in equation form we get;
Dividing both side by 1.6 we get;
Hence Stefan spend $120 originally.
Now we can say that;
Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.
framing in equation form we get;
Money Stefan made =
Hence Stefan made $72 by selling bicycle and helmet to Jim.