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Solve the second order ODE, giving a general solution: x'' + 2x' - 3x = 2e^-t

First find an auxiliary equation, for the complimentary function:m^2 + 2m - 3 = 0, (m+3)(m-1)=0m=1 or m=-3So the complimentary function is: x= Ae^t + Be^-3tFor the particular integral (PI), let x = Ue^-tt...

IF
1882 Views

What is the indefinite integral of ln(x) ?

We can use integration by parts to solve this question. If we look at the formula for Integration by parts: ∫u(dv/dx)dx = uv - ∫ v (du/dx) dx, we see that u must be multi...

DM
Answered by Dawud M. Maths tutor
3939 Views

Outline Bowlby's Evolutionary Theory of Attachment

Bowlby (1958) defines attachment as a species-specific system that has evolutionary advantages and contributes to reproductive fitness. This is initially a biological relationship which then becomes a cog...

KE
Answered by Katie E. Psychology tutor
2897 Views

Madame Bovary is a French literature masterpiece. Analyze the character of Emma in a few words using key expressions that we have worked on last week.

Madame Bovary est une femme de classe moyenne qui a des difficultés à assumer sa vie d'épouse et de mère. Tout au long du roman, elle remet en question sa place au sein d...

LB
Answered by Lyla B. French tutor
1016 Views

Solve the following inequality: x^2 + x -12<0

Firstly we have to factorize the quadratic. We do this by finding two numbers that multiply to -12 and add to 1.Looking at the factors of 12 we can see that x2+x-12= (x-3)(x+4)because -3 x 4 = ...

JS
Answered by Joy S. Maths tutor
7122 Views

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