find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)
1 answer:
Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
Solve for C by substituting the point given.
- 3 = 2e⁰ - sin(0) + C
- 3 = 2 - 0 + C
- 1 = C
Now we can substitute C into the original function.
This is the particular, or explicit, solution to the differentiable equation.
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