Write out the first 4 terms of y1 and y2: ( x+2 ) y" - 3y'...

Write out the first 4 terms of y1 and y2:

( x+2 ) y" - 3y' + 2xy = 0 ; x0 = 3

Expert Solution

Colby Messinger answered 2 years ago

The parametric equations x = x1 + (x2 − x1)t, y = y1 + (y2 − y1)t...

The parametric equations x = x1 + (x2 − x1)t, y = y1 + (y2 − y1)t where 0 ≤ t ≤ 1 describe the line segment that joins the points P1(x1, y1) and P2(x2, y2). Use a graphing device to draw the triangle with vertices A(1, 1), B(4, 3), C(1, 6). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of equations. Let x and y be in terms of t.)

Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>=...

Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>= x1y1+2x2y2+3x3y3 is an inner product

a) The functions y1 = x^2 and y2 = x^5 are two solutions of the equation...

a) The functions y1 = x^2 and y2 = x^5 are two solutions of the equation x^2 y ″ − 6 x y ′ + 10 y = 0. Let y be the solution of the equation x^2 y ″ − 6 x y ′ + 10 y = 3 x^5 satisfyng the conditions y ( 1 ) = 0 and y ′ ( 1 ) = 1. Find the value of the function f ( x ) = y ( x )...

Two waves y1(x,t) and y2(x,t) propagate in the air: y1 = A sin(6x - 12t) y2...

Two waves y1(x,t) and y2(x,t) propagate in the air: y1 = A sin(6x - 12t) y2 = A sin(5x - 10t) Find: a) The equation of the resulting pulse, y1 + y2. b) The distance between 2 consecutive zeros in the elongation. c) The distance between 2 consecutive absolute maxima of the elongation.

y1 = -109.7ln(x)+336.56 y2 = -126.9ln(x)+395.81 where y1 = storage time in days for sprouting y2...

y1 = -109.7ln(x)+336.56 y2 = -126.9ln(x)+395.81 where y1 = storage time in days for sprouting y2 = storage time in days for spoilage x = storage temperature in oC a. How many days are potatoes expected to spoil if stored at 18oC? b. A farmer discovered his stored potatoes showing a sign of wrinkles and dark spot after 15 days. Determine at what temperatures they must has been stored to cause the spoilage. c. A food processing company wants to...

Maximize p = x subject to x − y ≤ 4 −x + 3y ≤ 4...

Maximize p = x subject to x − y ≤ 4 −x + 3y ≤ 4 x ≥ 0, y ≥ 0. HINT [See Examples 1 and 2.] p = (x, y) = ____________

The joint density of Y1, Y2 is given by f(y) = k, −1 ≤ y1 ≤...

The joint density of Y1, Y2 is given by f(y) = k, −1 ≤ y1 ≤ 1, 0 ≤ y2 ≤ 1, y1 + y2 ≤ 1, y1 − y2 ≥ −1, 0, otherwise a. Find the value of k that makes this a probability density function. b. Find the probabilities P(Y2 ≤ 1/2) and P(Y1 ≥ −1/2, Y2 ≤ 1/2 c. Find the marginal distributions of Y1 and of Y2. d. Determine if Y1 and Y2 are independent e....

given y1 find y2 (Differential Equations) (3x-1)y''-(3x+2)y'-(6x-8)y=0 and y1=e^(2x)

We define a relation ∼ on R^2 by (x1,y1)∼(x2,y2) if and only if (y2−y1) ∈ 2Z....

We define a relation ∼ on R^2 by (x1,y1)∼(x2,y2) if and only if (y2−y1) ∈ 2Z. Show that the relation∼is an equivalence relation and describe the equivalence class of the point (0,1).

(1 point) In general for a non-homogeneous problem y′′+p(x)y′+q(x)y=f(x) assume that y1,y2 is a fundamental set...

(1 point) In general for a non-homogeneous problem y′′+p(x)y′+q(x)y=f(x) assume that y1,y2 is a fundamental set of solutions for the homogeneous problem y′′+p(x)y′+q(x)y=0. Then the formula for the particular solution using the method of variation of parameters is yp=y1u1+y2u2 where u′1=−y2(x)f(x)W(x) and u′2=y1(x)f(x)W(x) where W(x) is the Wronskian given by the determinant W(x)=∣∣∣y1(x)y′1(x)y2(x)y′2(x)∣∣∣ So we have u1=∫−y2(x)f(x)W(x)dx and u2=∫y1(x)f(x)W(x)dx. NOTE When evaluating these indefinite integrals we take the arbitrary constant of integration to be zero. In other words we have...

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