1. y"-3y' + 2y = e*; y(0) = 5;y'(0) = 7

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

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Q: order linear differential eq 22. y'+ 4y = x

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Q: max value for y

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Q: Find the general solution of the differential equation y' + 14xyº = 0 using separation of variables.…

A: Solvvee

Q: Find the general solution of the given Ordinary Differential Eqauations system: - 9 x () where X(t)…

A: .Our general solution is of the form X(t) = C1V1eλ1t + C2V2eλ2t  where V1 and V2 are eigenvectors…

Q: Obtain the differential equation of the family of circles with center at point (h,k) and radius r.…

A: The equation of the circle having a center (h, K) and radius and radius r is given by:…

Q: What is the differential equation of the orthogonal trajectories of the family of curves x-3xy- 2y²…

A: This is a simple question based on differential equations which could be solved using the basic…

Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

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Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: y' + 2xy = 0

A: y'+2xy=0

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Q: (3) y = ln¯' væ

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Q: Find the general solution of differential eqiuation 4 x2y''+y=0 if one of the solution is given by…

A: The differential equation is, . A second order Euler's ordinary differential equation is given by,…

Q: Solve the differential eqyations y" – y'+6y =e -2x

A: Differential equation problem.....

Q: The tangent line to the curve y = x3 at the point (1,1) will intersect the x-axis at x = a.2/3 b.…

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Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: 5. Obtain the Differential Equation from the family of vertical parabolas whose vertex is at (h,k).

A: Formation of the differential equation

Q: y(4) + 8y″ + 16y = 0

A: Given, y4+8y''+16y=0

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: The differential equation of the family of straight line with the algebraic sum of the intercept…

Q: Find x for which the line tangent to the parabola y = 4x – x2 is horizontal.

A: In this question, we need to find the value of x at which the tangent line is horizontal.

Q: Usually in a method of solution for Homogeneous DE, after the substitution of y = vx (or x = vy) and…

A: In the method of solution for homogeneous differential equation, The equation is of the form,…

Q: Given that f(x, y) = (y + 1) approximate the change in f(x, y) from the point (4, 1) to point (4.03.…

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Q: ex 1. y" – 2y' + y = x5 when y(0)=1; y'(0)=2 %3D

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Q: The differential equation dudx=5u+10  admits one equilbrium solution that is    asymptotically…

A: The given solution is  unstable whose plot is shown below.

Q: obtain in alinear differential eqaution with real, constant coefficients that is satisfied by the…

A: The solution of the problem is given in the next step.

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

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Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

Q: John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID…

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Q: 2. The radius and height of a right-circular cylinder are measured with errors at most 0.1 inches.…

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: 4.3√√√7

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Q: 5. Obtain the differential equation of the family of circles with center at point (h,k) and radius…

A: Please refer to the image below

Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

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Q: Suppose that a drug is administered to a person in a single dose, and assume that the drug does not…

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Q: Calculate ∞0 1 e -3t √t - dt

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Q: Jesaki Inc will sell N units of product after spending $x thousand in advertislhg, as en by N = 74…

A: The given data is: N=74x-x2 To use differential approximation to estimate the increase in sales that…

Q: ly 3)[e^(-2y)]dy

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Q: dy 2. 2xy da 3. 2ydx + x (x² In y – 1)

A: We are asked to solve differential equations.

Q: 2. Obtain the differential equation having the solution as the equation representing all circles of…

A: The solution is given as

Q: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

Q: Find the orthogonal trajectories of family of curves y = ax5 (SOLVE BY USING DIFFERENTIAL…

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Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

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Q: If the family of curve has 4 arbitrary constants then the corresponding differential equation is c)…

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