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differential and linear equations please please double check answers are correct Solve y" + 5y' +...
please answer all questions and show all working
2. Solve the the following differential equations (you answers will not have any arbitrary constants) (a) y"+y' - 2y =0 with y(0) 1 and y(0) = 1 (b) 6y" - 5y + y =0 with y(0) = 4 and (0) = 0 (c) y" + 5y + 3y = 0 with y(0) = 1 and y(0) = 0 (d) y" + 8y' - 9y=0 with y(1) = 1 and y(1) = 0
Solve the following differential equation with given initial conditions using the Laplace transform. y" + 5y' + 6y = ut - 1) - 5(t - 2) with y(0) -2 and y'(0) = 5. 1 AB I
2nd order linear homogeneous
Find the general solution to the following homogeneous differential equations (you answers must have two arbitrary constants (you may use any letters, for example p and q or m and n instead of ki and k2 - notation doesn't matter here]). y" + 2y' – 3y = 0 (b) 6y" – y-y=0 (c) y" + 5y = 0 (d) y" - 9y' +9y 0 The two constants, e.g. ki and k2, determine (and are determined by)...
differential equations
.. Boundary Value. Solve the following: y" + 2y' - 5y = 0, y(0) = 0, y'(1) = 0 F. Boundary Value. Solve the following: y" + 2y' - 3y = 9x, y(0) = 1, y'(1) = 2
please solve with steps and explain thanks
Question 5 Given the differential equation y'' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(8) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
y(t) is
INCORRECT
but
x(t) is CORRECT
DIFFERENTIAL EQUATIONS / Linear Algebra
Only people that are proficient in DIFFERENTIAL EQUATIONS should
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Please write clearly and legibly. No sloppy Handwriting. I must
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Circle final answer.
BELOW is an example of what the answer should look very similar
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example
7.10.4 Question Help Use the...
Differential Equations: Check each answer to
prove the answer is correct.
Solve the equation (x+y)dx + xdy = 0 by two different methods: a) by substitution (u = y/x) b) as an exact differential equation. c) show your two answers are equivalent (i.e. differ by a constant)
Find the solution to the linear system of differential equations
{?′?′==−2?+12?−?+5?{x′=−2x+12yy′=−x+5y satisfying the
initial conditions ?(0)=1x(0)=1 and ?(0)=0y(0)=0.
د (1 point) Find the solution to the linear system of differential equations { -2x + 12y -x + 5y satisfying the initial conditions x(0) = 1 y د and y(0) = 0. x(t) = yt) =
1. (each 5pts) Find the solution of the following differential equations. (a) y" + 6y' +9y=0 which satisfies yo)= 4 and V = 4 (b) v- 5y' +6y=0 which satisfies y(o)=1 and y (0)=2
Given the Homogeneous Linear Differential Equations with
Constant Coefficients, determine the general solution
y(v) + 4y(iv) + 5y“” – 6y' – 4y = 0 y(x) = cte* + c2e-2x + c4e +04e-* + e-* (c4Cos x + C5 Sen x) Answer: