What is the differential equation of the family y=C e^(5x)?
Family y=C e^(5x) की differential equation क्या है?
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Correct Answer
C. dy / dx = 5y
ExplanationStep 1: remove the arbitrary constant C. Step 2: differentiating y=C e^(5x) gives dy/dx=5C e^(5x)=5y. Step 3: tip: an exponential family has derivative as a multiple of itself.
Step 1: arbitrary constant C को हटाना है। Step 2: y=C e^(5x) differentiate करने पर dy/dx=5C e^(5x)=5y। Step 3: tip: exponential family में derivative original function का multiple होता है।