If y = C e^(4x), which differential equation does it satisfy?
यदि y = C e^(4x), तो इससे बनने वाली differential equation कौन-सी है?
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Correct Answer
A. dy / dx = 4y
ExplanationStep 1: Differentiate y. Step 2: dy/dx = 4C e^(4x) = 4y, so the equation is dy/dx = 4y. Step 3: For exponential solutions, the derivative is often a multiple of the same function.
Step 1: y को differentiate करें। Step 2: dy/dx = 4C e^(4x) = 4y, इसलिए equation dy/dx = 4y है। Step 3: Exponential solution में derivative often same function का multiple होता है।