Example 37 - If y = 3e2x 2e3x, prove d2y/dx2 - 5 dy/dx
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Example 37 - If y = 3e2x 2e3x, prove d2y/dx2 - 5 dy/dx
Example 37 If y = 3e2x 2e3x, prove that 𝑑2𝑦/𝑑𝑥2 − 5 𝑑𝑦/𝑑𝑥 6y = 0.Given, 𝑦 = 3𝑒2𝑥 2𝑒3𝑥 Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = 𝑑(3𝑒2𝑥 2𝑒3𝑥)/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 𝑑(3𝑒 2𝑥)/𝑑𝑥 𝑑(2𝑒 3𝑥)/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 3. 𝑒2𝑥 .𝑑(2𝑥 ...
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