13 s(t) = 4t+ 3t

Q: Use variation of parameters plem) to find a particular solution to y" – 2y' – 15y = e -3t %3D You do…

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Q: et - Low e² + 3dt et +3 tana 2. G(x) =

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Q: ;y(0) = 1 form of yp to solve

A: As per the bartleby guidelines for more than one part only one has to be solved .Please upload the…

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t…

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3…

Q: y" – 2y + y = 1+x?

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Q: solve the equation 2xy" +xy'-y 0 5. 2 1 Does y() = x- real s y(1) =1, y'(1)= 2 solve the IVP

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Q: 6. y = x2 is a solution for which differentia

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: y' = x – 4y %3D

A: The solution of above differential equation is written below.

Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: -3 -4 Evaluate: ₂₁ (4x²y - z³) dz dy dx

A: ∫03∫-24∫10(4x2y-z3) dz dy dx

Q: y" – 4y' + 5y = 0.

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Q: Find the general solution of (T^2 + 4)y' + 2ty = t^2 (t^2 + 4) with the variation of parameters…

A: In this question, we find the general solution of (t2+4)y'+2ty=t2(t2+4) with the variation of…

Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

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Q: B. ty – (t+ 1)y + y = t²

A: Solve using variation of parameters :               ty''-t+1y'+y=t2            -------- (1)…

Q: What is the general solution of 3 (3z + y') dz – 2zydy = 0?

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Q: How do I solve T=I/PR X 360 for "R"?

A: The given equation is

Q: How do I integrate the following equation? U(z)=2.8*exp(-z/6300)

A: Consider the given equation as Uz=2.8*e-z6300

Q: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: 5) To find B from Mathematical equation Y = V5X + 3X +1 %3D N=Y-4Z+C? B =N X+ Y

A: Given:  Y=5X+3X+1N=Y-4Z+C2B=NX+Y To determine: The value of B from Mathematical equation.

Q: What is the most ideal first step to be done here to eliminate the arbitrary constant/s? * 3X 4. -xy…

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Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

A: The given equation is; xdy + (3x-2y)dx =0

Q: Conside the DE y" + a²y = 0; y(T/2a) = 0, y'(1 /2a) = -a where a is a constant. Solve it by using…

A: We are given the DE,                  . where a is constant.  First, we will solve by using trial…

Q: 1. Let f(x, y) = Vx³ + y5. Find f2(0,0).

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Q: Q(4) Find the general solution of dy =(r- y+ 5). dr

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Q: Simplex Method to solve the following LP: max Z = +2x2 +4r3 +5r3 < 10 8. s.t. 311 +4x2 2x1 +2r3 < 7…

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Q: iv. x2 + y3 + (Inx)e = 4. %3D

A: iv)    Given,               x2+y3+In xey=4        differentiate both side with respect to x.…

Q: +z=1 +z=1. + kz =1 solution

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Q: Solve using variation of parameters y" – y = e2=

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Q: 2. Solve: z dy (6r + 1)y+ 3r² + 2y* = 0 dr

A: The given differential equation is (6x+1)y2dydx+3x2+2y3=0. Divide both sides of the given equation…

Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"…

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Q: 'ain(t -플)') co여(t- dt

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Q: Solve []=[ x (t) = y(t) = - 3 1 -41 -5 [2] x(0) = - 2, y(0) = 23

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Q: If variation of parameters method is used when solving the equation y 1 then what is the v3 (x) of…

A: find the particular solution as following way:-

Q: 5. e²y$/1- e' dy

A: Solve the integration

Q: く×-- 3-×-2) 1-メー× 2 -

A: The function value at x0 and x1 can be computed by substituting 0 for 1 for the provided expression…

Q: Y'+ 4y' + 4y = te² %3D

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Q: + 12du = 0, t> 0 with u(x, 0) = f(x), 0 < x < 1. Determine the characteristics and sketch them.…

A: Given: The given partial differential equation 3∂u∂t+t2∂u∂x=0 with  u(x,0)=f(x),0&lt;x&lt;1.

Q: Solve 5 2 E #(0) = – 2, y(0) = = 10 | Ly' - 29 - x(t) = %3D y(t) =

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Q: Solve the DE using the method of variation of parameters: *y" 4ry' + 6y-6a, y(1) –3, y'(1) =2 All…

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Q: general solution of (D2-1)y=2/1+ex

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Q: If y(#) = and z increases from 0 to 0.5 then dy = 0.5. %3D %3D 1+ *

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Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A: Given data,y''-2y'+1=0We have, (D2-2D+1)y =0The auxiliary equation is m2 -2m+1 =0 ⇒m= 1,1When the…

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: Find general solution of DE by both methods (independent variable missing and dependent variable…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (x² – 1)y' + 2y = (x + 1)² %3D

A: Given: x2-1y'+2y=x+12

Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

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Q: What is the general solution to y''+y=0. Show the solution.

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Q: Find the general solution of  (D^4+D^2)y=3x^2+4sin(x)-2cos(x) using method of undetermined…

A: The question is solved by using method of undetermined coefficients.

Q: | 8(x + 1) (2x2 + 4x – 1) dx 3/2 5.

A: For the given integral- I=∫8x+12x2+4x-132dx Let u=2x2+4x-1 Differentiating w.r.t. x to both sides-…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.