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What is the best to solve first order differential equations?

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The best method is direct integration.
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Maths Lecturer

Euler method
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Maths Tutor

the most commonly-used analytic solution methods for first-order ODES. Separating the Variables
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Tutor

Whatever be the order of equation, only after analyzing it we can recommend a method to solve it. In general variable separable method is applicable to most cases but in JEE, they can make use of this loophole and frame a question which may be an exception. So we need to address the question accordin...
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Its a rubish question ,no one can answer that this method is best or some other method.It all depends on the question which u are trying to solve. I am totally disagree with the statement given by others.
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I am postgraduate in mathematics and I have a twenty one year teaching experience of mathematics from first step to M.Sc class

dy/dx +y=o
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Engineer

Methods depends on the question But variable and separable method is best to solve it
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Experienced Teacher , Master of Science in Physics

Seperation of Variables , that's basic . Then learn other ways
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Best Maths Tutor in Bhagalpur

Each and every method is good it depends upon the question which method suits more. Solve/Practice large no. of different problems your doubts will be clear
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Chemical Engineering Gate AIR 150

Depend on the question.
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Dear friends, Please correct me in case I am wrong. I your opinion , what should be the maximum number of students in a coaching class, so that each student can have maximum dedicated time from the attending teacher in the classroom. In present days, cost and time of coaching / tuition matters a lot . The same will be demontrated by the following two examples : Example 1 : Suppose a student pays Rs. 4000/= per month ( 26 days in a month , excluding Sundays ), One hour per day , number of student is only one, then cost of coaching per minute works out to (Rs. 4000/=X 1 Student )/(26 days X 60 min/day ) = Rs.2.56 per min. cost and he will get dedicated time of 60 min. each day to carry on his studies. Example - 2 : Suppose a student pays Rs. 2000/= per month ( 26 days in a month , excluding Sundays ), One hour per day , number of student is 30 in a class, then cost of coaching per minute works out to (Rs. 2000/=X 30 Students in a coaching class ) / (26 days X 60 min/day ) = Rs.38.46 per min. cost and he will get dedicated time of only two min. each day for his studies. The above examples shows that though the monthly fees paid by each student is just half ( Rs. 2000/= see example -2 ) in case of classroom type of coaching as compared to the individual coaching ( Rs. 4000/= see example - 1 ), but on the other side cost of coaching per min. based on true dedicated time is 15 times higher in case of classroom type coaching with mass students than single student coaching. These can be however extrapolated for any number of students in a coaching class. As a result the speed of learning process of a student will be about fifteen times slower in classroom type coaching having mass students in a class ignoring the other factors. However, it may be the choice of the students and parents which option is better for them ? Regards, Sudhansu bhushan Roy.
Sir your calculations are excellent. I would like to add few things. 1. It depends on the student / parents choice at the end. 2. It never implies that effective attention to a student is 2-3 mins, so...
Sudhansu Bhushan R.

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