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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