he differential equation (6x2-7y)dx – 14xy dy=0 is said to be homogenous. Which of the following is its implicit solution? A 6x – 21y?=C B x(6x²– 21y²) =C (© 6x³- 21.xy=C D x(6-2ly²) =c

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Q: 4. What is the differential equation of the given functions? • y = Ce-* + Cze-2x + x y = Ce2* +…

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Q: The differential equation - + 10y = 0 has auxiliary equation with roots Therefore there are two…

A: Given: d2ydx2-7dydx+10y=0

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A: To show that the differential equation  2xy3-3y2+2xy2dx+3x2y2-6xy+2x2ydy=0 is exact and to find its…

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Q: The differential equation y" -5y-4y csc2t can be solved by varlatlon of parameters. Select one: O…

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Q: For the differential equation x-4y"-2y'+y 0, the point x = -2 is Select the correct answer.

A: One distinguishes the following cases: Point a is an ordinary point when functions p1(x) and p0(x)…

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

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Q: (y² + 2xy)dx + x²dy = 0 2.

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Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

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Q: A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y". dx Observe that, if n = 0…

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Q: Find the general solution of the differential equation: y'-5y = et Use lower case c for the constant…

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Q: 6. Find the general solution to the differential equation y" + 2y' + y = x-4e-" Simplify your answer…

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Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: A solution for the differential equation is y = Pe-3x/2 + Qe-x/2.

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-2t 2 = 0

A: We need to determine a differential equation corresponding to the general solution: y=c1e5t+c2e-2t.

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Q: 4. (D* – 1)y = 0

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Q: What is the general solution ti the differential equation (x-4y-9)dx+(4x+y-2)dy=0 ?

A: Given: x-4y-9dx+4x+y-2dy=0

Q: 3.(ii) Show that given differential equation is not exact and hence solve it. |(2y – 4xy")dr - (2³ –…

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Q: dy Q-3. Solve the differential equation by variable separable method + xydx = 9xdx

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Q: 3x y"+y= e¯x2 - 4x + 2x² + e³x 8-12x - 10x²

A: Let us consider the given differential equation y''+ay'+by=Q(x) To solve the differential equation…

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A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

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Q: We consider the following differential equations: xy" + xy' - (x − 3) y = 1 pour x > 0. Give the…

A: Consider the following differential equations: xy''+xy'-(x-3)y=1 for x>0   To Find: General form…

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: Please, reply as soon as posible! Determine the general solution of the differential equation y ′ ′…

A: To find its general solution for the below differential equation. y''−16ky'+64k2y=ex

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A: We will solve the problem

Q: The complete solution to the nonhomogeneous differential equation (D^3 + D - 10)y = 116e^(4x), is *

A: Explanation of the answer is as follows

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Q: Solve the differential equation by separation of variables: (x²+4) dy + x²y²dx=0 Ⓒ 1 y There is no…

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Q: 7e-3x+2x² -xcosx y' -6y3

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Q: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x

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Q: Given a differential equation y’’−16y=2e4xy’’−16y=2e4x. Applying the method of undetermined…

A: The given differential equation is: y''-16y=2e4x

Q: If the differential equation is Exact, solve it. (12z y- 6z) dz + (4r + 2y – 3) dy = 0 %3D

A: Given,       12x2y-6xdx+4x3+2y-3dy=0

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Q: The solution of the following separable differential equation x²y-y ア=リーン y' with y(3) = -1 is y+1…

A: Given,          y'=x2y-yy+1 with y3=-1

Q: Find the value of n such when the differential equation (x + y3)dx + 6xy2dy = 0 is multiplied by xn…

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Q: The value of k that will make the differential equation (6xy³ + cos(y))dx + (2kx²y² - xsin(y))dy = 0…

A: Consider the differential equation: 6xy3+cosydx+2kx2y2-xsinydy=0 Comparing the given differential…

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.