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Load DE tools package:

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Define the differential equation switch variables from x(t) to y(x) so we can use shorthand (y') notation.

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Ask Maple to solve so we know what our answer should be:

LUknZHNvbHZlRzYiNiNJJG9kZUdGJA==

Now solve again with the initial condition. Define the initial condition first as IC

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LUknZHNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiM8JEkjSUNHRidJJG9kZUdGJw==

Know our semi- by hand computations using the method of integrating factors.

Compute integrating factor using formula for integrating factors -- save in the variable intf.

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Verify with intfactor:

LUkqaW50ZmFjdG9yRzYiNiNJJG9kZUdGJA==

Multiplication of the ODE by this integrating factor yields

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Integrate the right hand side -- Use Expression Palete for indefinite integral.

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Divide by the integrating factor to find y: (use copy and paste)

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Note: Maple can also do this --

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We can check our step by step solution for correctness.

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Now we need to find the constant C that satisfies our initial conditions:

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