What is the general solution of dy/dx + 3y = 0?
dy/dx + 3y = 0 का general solution क्या है?
Show answer and explanation
C. y = C e^(-3x)
ExplanationStep 1: the equation is separable and linear. Step 2: dy/y = -3 dx gives ln y=-3x+C, so y=Ce^(-3x). Step 3: tip: y' + ky=0 gives exponential decay.
Step 1: equation separable/linear है। Step 2: dy/y = -3 dx integrate करने पर ln y=-3x+C, इसलिए y=Ce^(-3x)। Step 3: tip: y' + ky=0 decay form देता है।