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Asked by sdmbotch1123 | 16 Jan, 2023, 08:18: PM
slope of tangent =
Let ex = α

If we resubstitute α = ex in above expression , then we have

Let us integrate RHS to get y(x)

to perform the second integration in above expression,

let us use the substitution  u = ex  and du = ex dx

............................(1)
where C is constant of integration.

we are given that y(x) passes through

hence if we substitute x and y values as above in eqn.(1) , then we have

Hence we get ,

Now if y(x) passes through , then we have

Answered by Thiyagarajan K | 17 Jan, 2023, 12:16: AM

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