1. Find the order and degree of the differential equation + 2( - 6 A. 4th order, 7th degree B. 4th order, 5th degree + y = sin sin x dx dx dx C. 9th order, 13th degree D. 3rd order, 7th degree

Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

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

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Q: 6. Given a differential equation with coefficients linear in two variables. If the DE represents…

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Q: Q-4. Form the first-order differential equation of y = e(sin y+æ)

A: Our aim is to form the first order differential equation.

Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

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Q: Determine the order and degree of the differential equation, 2x +5x² () - - xy = 0. dx a. Fourth…

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Q: 2. Consider the differential equation dy da = 3(2-y)(y+ 2). %3D If y(0)=1, then determine lim,-00…

A: We know that if the first order derivative of a differentiable function is positive (nagative) at a…

Q: 1. Verify that for constant C the function ø(x) = + Cx is a solution of the differential equation 2…

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Q: Construct the differential equation of the family of curves xy=C(x-1)2 where C is an arbitrary…

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Q: 2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1…

A: As per as our guideline i am supposed to answer only one question from all these question . To get…

Q: A bank pays continuous compounded interest. Sue deposits $100 in the account, and in 5 years she has…

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Q: (ii) Show that the differential equation is not exact. (2y² + 3x) dx + 2xydy = 0

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Q: 7 (2x + cosh xy) dx + [(xy cosh xy – sinh xy)/y²] dy = 0

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Q: III. Eliminate the arbitrary constants to find the differential equation 1. y=Ce-C,e +C,e

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Q: 4. The degree of the differential equation (y")³ + y' – cos y = x is

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Q: 24.Use separation of variables to solve the differential equationdQ/dt=r(a+bQ),Q(0)=Q0, where a, b,…

A: dQdt=ra+bQ ,  Q0=Q0 By separating the variables, we get dQa+bQ=r dt Now integrating on both sides,…

Q: 1. Draw and obtain the differential equation of a circles having its center on the line x =y and…

A: 1.

Q: A heart pacemaker consists of a switch, a battery of constant voltage Eo, a capacitor with constant…

A: Explanation  we have given the voltage change E across the heart satisfies the linear differential…

Q: Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more…

A: Given data: The given differential equation is dM/dt=-k0. The given value of k0=0.186 g/litre/hr.…

Q: y > Ae* +Be* +ce; A,B and c unstant are

A: As per our guidelines we can solve only one question at a time please upload unsolved question…

Q: 1) Find the differential equation using method of undetermined coefficient y-3y' +2y e*sinx Aotoi…

A: Given: - The differential equation is, y''-3y'+2y=exsinx To find: - The solution of the given…

Q: 5. Solve the differential equation with method of undetermined coefficients. y" + 2y' – 3y = x + cos…

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Q: -The Bernoulli's form of the differential equation 2x'dy-y(y² +3x)dx=0 is

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Q: Determine the order and degree of the differential equation 2x dx4 + 5x2 dx, - xy = 0. a) 4th Order,…

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Q: 4. Form the first-order differential equation of y = e(sin y + r) %3D

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Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

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Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x - y³ dy=0 is

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Q: Q2 Form a differential equation from the function y = (4– 2 cos x) x)cosx.

A: Given below the detailed solution

Q: 4. determine the order of the given differential equation; also state whether the equation is linear…

A: d2ydt2+sint+y=sint

Q: Q-4. Form the first-order differential equation of y = e(sin y+z)

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Q: 1) y=x arccos - (c is an arbitrary constant), the lowest digit that satisfies Find the differential…

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Q: Find the Yc, Yp, general sol

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Q: Determine the order and degree of the given differential equation: 1 dy -ky dr 100 dx

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Q: 1.) Find the general solution to the first order differential equation given below. -3x 3xe 2x y' 4y

A: In the given question we have to solve the given ordinary differential equation of first order and…

Q: Q3. Second order non-homogeneous ordinary differential equation is given as: y"+ y' – 2y = x² - x+e*

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Q: B and C are 3. Obtain the required differential equation associated with the following, where…

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Q: 2) Show that y =1 - Ce-* is a solution of the differential equation = 1- y for any real number C. dx…

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Q: Identify the order and degree of the differential equation: 1+ dx O a. 2nd order, Ist degree O b.…

A: We have to find out the degree and order of the given differential equation

Q: a) Find the differential equation of X ae(2+last digit of your id)y + %3D be-(2+last digit of your…

A: Consider the provided question, Given, last digit of id is 9. Substitute this value in the given…

Q: What is the degree and order of the differential equation (y") + (y")° + (y')' + 8 = 0 O degree 3…

A: (y''')4+(y'')6+(y')7+8=0

Q: I. Determine whether the given differential equations are homogenous or not homogenous. If the…

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Consider the nonhomogeneous second order differential equation a°y" – xy' + y = nT +0, x > 1.

A: First we have to find the general solution of the differential equation x2y''-xy'+y=xlnx where x≠0,…

Q: 19. The differential equation (2xy - y^2+ y) dx + (3x^2 - 4xy + 3x) = 0 is

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Q: Determine the solution y2(2) of the differential equation, given that it is satisfied by the…

A: If y1x is the solution of the differential equation y''+Pxy'+Qxy=0,  then second linearly…

Q: Q-4. Form the first-order differential equation of y = e(sin y+z) %3D

A: We have to find the first order derivative first.

Q: Let y = f (z) be the particular solution to the differential equation = -3z'y with initial condition…

A: Consider the differentiate equation dydx=-3x2y3 Here, the objective is to find the equation of the…

Q: dx I+ ylz

A: An equation which involves the derivative or differential coefficient is called differential…

Q: 5. The Bernoulli's form of the differential equation xdy-[y + xy ³ (1 + ln x)]dx = 0 is In

A: Given xdy-y+xy3(1+lnx)dx=0

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…