Solve the following initial value problem: An initial value problem consisting of the differential equation dy/dx = 2e^x y^3 and the initial condition y(0) = 1/2.

Q42 of 462 Page 23

Solve the following initial value problem:

Given

=

Integrating both side

=

= C .....(i)

Put x = 0, y = 1/2

=

= -2 = 2 + c

C = -4

Put the value of C = -4 in equation (i)

= - 4

=

Hence,

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Solve the following initial value problem:

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Solve the following initial value problem:

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Solve the following initial value problem:

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Solve the following initial value problem: