Differential Equations Answers

x²y''-4xy'+4y=4x²-6x³

x²y''+xy'+4y=2xlnx

y''+3y'-2y=e^-x/x

y''+3y'+2y= 1/(1+e^x)

Find the general solution of following

1) y''-2y'+y=e^xsin^-1(x)

Find the general solution of each of the following

1) y''+y=Tanx

Detectives have discovered the murder victim in juja at 6:30 am and the body temperature of the victim was then 26⁰celcius after 30minutes the police surgeon arrived and found the body temperature to be 23⁰ Celsius. If the air temperature was 16⁰ Celsius throughout and the normal body temperature is 37⁰ Celsius at what time did the police surgeon estimate that the crime had occurred(victim murdered)?

Determine whether the vectors are linearly dependent or independent (1,2,1),(-1,0,1) and (2,-1,4)

Using taylor series expansion obtain a power series solution to the initial value problem

(2x²-3)d²y/dx²-2xdy/dx+y=0 y(0)=1 y'(0)=7

Determine the general solution to the exact differential equation

(e^2y-ycosxy)dx+(2xe^2y-xcosxy+2y)dy=0