About NUR ARINA BASILAH BINTI KAMISAN Expertise i can answer derivatives and integral questions but not so expert in answering limits,vector and infinite series.
Experience i teached calculus for foundation students at university malaya and i also teached tutorial class in university for subject differential equation when i was doing my degree.currently i'm teaching algebra for foundation students.
Education/Credentials i have degree in mathematics with education and now i'm futhering my study in master of statistics at university malaya.
Expert: NUR ARINA BASILAH BINTI KAMISAN - 8/15/2008
Question Hi
im having trouble finding a form in which to anti derive and solve this equation
the question is
Solve the following equation
dy/dx= (a(y)^2+D)/y if a = 4 , D= 2 and when x=o y=5
please help
my understanding is that i have to anti derive the equation then use x,y to solve it
Answer hi calum,
what you understand is correct.
you have dy/dx=(a(y)^2+D)/y
substitute a=4 and D=2
dy/dx=(4y^2+2)/y
dy/dx=4y+2/y
[1/4(y)+y/2]dy=dx
integrate both side
ln(y)/4+y^2/4+c=x --->(1)
substitute x=0 and y=5
ln(5)/4+25/4+c=0
c=-6.2524
substitute c into (1)
ln(y)/4+y^2/4-6.2524=x
