Substituting this into the other ODE gives
Since , it follows that
. The ODE in
has characteristic equation
with roots , admitting the characteristic solution
From the initial conditions we get
So we have
Take the derivative and multiply it by -1/4 to get the solution for :
Answer:
2)
3) 5√2
Step-by-step explanation:
Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).
2. Here the given expressions,
For rationalising the denominator multiply both numerator and denominator by √11,
3. given expression,