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Find the general solution of the second order differential equation y''(t)+y(t) = 5exp(2t)

The general solution y GS (t) to a differential equation in the form ay''(t)+by'(t)+cy(t)=f(t) is the sum of the complementary function y CF (t) and a particular solution y PS (t).First we find the complemen...
AC
3222 Views

Who wold you give a liver transplant to out of a 40yo alcoholic mother of two, a 3yo with a congenital liver abnormality, or an elderly gentleman with chronic liver failure?

Need to base decision purely scientifically- cannot pass judgement on the mother who is an alcoholic for example, as it is your job as a doctor to be completely unjudgemental and treat everyone the same. Bas...
SB
1934 Views

How do I know when I need to use the subjunctive in Spanish?

This is a very common question amongst all Spanish-learners and sadly there isn't an answer that is completely 'set in stone'. This is because the subjunctive doesn't exist in English, which means it is diff...
EL
Answered by Emma L. • Spanish tutor
2328 Views

Write x^2-4x+9 in the form (x-p)^2+q, where p and q are integers.

To complete this task we use a method called "Completing the square. For this we use a formula (a+b)^2=a^2+2ab+b^2. Now we see that in the example we have a term x^2 so we put x^2=a^2 so we can have tha...
MS
Answered by Maria S. • Maths tutor
6622 Views

P=(3a+5)/(4-a) Make a the subject

P=(3a+5)/(4-a)First of all we need Get rid of the denominator, we do this by multiplying both sides by (4-a)This leaves P(4-a)=3a+5 (as any term multiplied by the denominator leaves only the numerator)The ne...
JS
Answered by Joshua S. • Maths tutor
4709 Views