Home | 18.01 | Chapter 15 | Section 15.1

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Example 1 with dy / dx = F(x)

Solve the differential equation y ' = cos x

initial condition:

y2 - 18 = sinx2 - sin0

y2 = sin x2 + 18

the solution is:

y = sin x + 18

another initial condition:

y2 - 2 =sin x2 - sin 1

y2 = sin x2 + 2 - sin 1

the solution is:

y = sin x + 2 -sin 1