Question

which one of the following best for solving initial value problems.​

Answer 1

Answer:

dy

=100−y

⇒∫

100−y

dy

=∫dx⇒−ln(100−y)=x+c

since y(0)=50⇒−ln50=c

∴−ln(100−y)=x−ln50

⇒ln(

100−y

50

)=x⇒

10−y

50

=e

x

Answer 2

Which of the following best to solve initial value problems:

Explanation:

• Explicit RK methods are very popular for solving non-stiff initial value problems.
• we can use Implicit RK methods for solving BVPs and also used for solving stiff Initial Value problems.