If y = C e^(9x), which differential equation does it satisfy?
यदि y = C e^(9x), तो इससे बनने वाली differential equation कौन-सी है?
Show answer and explanation
Correct Answer
B. dy / dx = 9y
ExplanationStep 1: Differentiate y. Step 2: dy/dx = 9C e^(9x) = 9y, so the equation is dy/dx = 9y. 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 = 9C e^(9x) = 9y, इसलिए equation dy/dx = 9y है। Step 3: Exponential solution में derivative often same function का multiple होता है।