Question 7 Solve for the differential ofy when y=sinx, x=-, and dx=- 3 2 A 4 B 元 4.

Q: Question 4 SN Given the differential equation (5x² - y²) dx + 2ydy = 0, What is dx 01 0-1 00 O-2y =?…

A: Given the differential equation : (5x²-y²)dx+2ydy=0

Q: y" + 2y' +y = sin x+ 3 cos 2x.

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

Q: Solve following differential equation (1+=) (sin x)dy + (cos x)dx = 0

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Q: y' - (2 cot x)y = – sin³ x |

A: We have to solve given problem:

Q: Question 2 Given a differential equation as d²y dy 2². - -3x- +3y=0. dx² dx By using substitution of…

A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: If y=-2x² + sin x solve for the differential of dy.

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Q: Question 13. Use variation of parameters to solve the differential equation: 1 y" + 4y : sin 2x

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Q: Question 13 Solve this differential equation: dy 0.05(1000 – y) dt y(0) = 50 y(t) = Submi Question 9…

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Q: solution to this differential equation dy/dx = tan y cot x — sec y cosx

A: Given : The given first order differential equation is dydx=tanycotx-secycosx

Q: = e-2x sin2x, y(0) = 1,

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Q: Question 3: Solve the differential equation 3- y = e x >0 dx

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

Q: QUESTION 7 Solve the differential equation with initial condition dy = 7y²x³ dx y(2) = 3

A: Given: dydx=7y2x3

Q: Question 5 A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A…

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Q: 2. Solve the differential equation dy sin x dx 2 y-cot x

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Q: 7. (D² + 4)y = 6 sin x. ANS. y = 2 sin x. %3D

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Q: Question 10 An appropriate substitution for the differential equation None of These. y=ux -le

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Q: Question 6 Use differentials to find the approximate value of y: (2x 1) when x = 0.98. O (E) None of…

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Q: Question 3: Solve the differential equation 3-y = es x > 0 dx

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Q: Question 4: Confirm that the function you found is a solution to the differential equation z' + z =…

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Q: xy' +y= sin(x) + 2cos(x)

A: We know that a differential equation of the form dydx + P(x)·y = Q(x) has Integrating Factor (I.F.)…

Q: Q-7. Solve the differential equation y = 1+ fip +..... for | 1 |< 1. dz dz

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Q: QUESTION 2 Show that the given differential equation is exact. Hence, solve the differential…

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Q: 3. (D² + 4)y = 10 cos 3x. ANS. Y = -2 cos 3

A: We have to find solutions

Q: Task 2 Verify that the function y(x) = sin(x³) is a solution of the %3D second-order differential…

A: Given  Second order differential equation: y'' - 2/x y' +9x4y=0 To prove : y = sin (x3) is solution…

Q: Question 5 Use variation of parameters to solve the differential equation x²y" + y = x. [Leave ₁ and…

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Q: 1 dy 1 )? dx Solve the differential equation ( 2x sec 2y II

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Q: B: Solve the differential equation: (1+x)dy + ydx = tan-1x dx

A: To solve the given differential equation: (1+x2)dy+y dx=tan-1x dx

Q: Solve the differential equation dy /dx = x sq / y  sq

A: dy /dx = x2/ y2 Hence, y2dy = x2dx

Q: Question 4: Confirm that the function you found is a solution to the differential equation z' + z =…

A: The differential equation is given as z'+z = cos(2t) Corresponding homogeneous equation is given as…

Q: blve |x+ ye* |dx - хе* dy —D 0, y(1)-0

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Q: dy Question 5: Find the general solution of the differential equation = 8x and the dx particular…

A: Note: " since you posted multiple question.As per our guidelines we are supposed to solve one at a…

Q: Question 2 Given a differential equation as -3x dy +4y=0. 1 dx² dx By using substitution of x = e'…

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Q: 15 tan y + y/(1 + x²) = (2 Tan-'y – Tan х — X sec? у)у'; у(0)

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Q: EXAMPLE 3: Solve the differential equation y" + y' = 3sin(2.x)+cos(2.x).

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Q: Question 15 A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A…

A: This question is related to differential equations, We will solve it using given information.

Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question 5 Let y = 4x2. a) Find the change in y, Ay, when r = 2 and A x = 0.2 b) Find the…

A: Given equation         y=4x² We have to apply the partial differentiation for the equation

Q: dy Question 5: Find the general solution of the differential equation 8x and the dx particular…

A: This is Separable differential equation

Q: 5. Solve this exact differential equation. (y² – 2x)dx + (2xy + 1)dy = 0 %3D

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Q: Question 4 Solve the differential equation (x + sin y) dx + (xcosy-2y)dy =0

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Q: dy/dx+(2/x)ydx=3dx

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Q: Question1: Solve the differential equation xy = x² + y?

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

Q: 2y'ly"+2)=xy's

A: We are given a nonlinear first-order ordinary differential equation. And we have to find its…

Q: Question 2 What is the degree of the differential equation 2³ 4² + x² ( 4 ) ³ + x²y = sin æ 3 3 By…

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Q: Q-21 Solve the linear Differential dy + (x sin x + cos x)y = 2 dx equation x cos x-

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Q: dx I+ ylz

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

Q: Question 7 1 Solve for the differential of y when y = sinxx, x=-, and dx =- 2 3 A B 4 -- 4 D 2

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Q: 3. 4 sin 2y dy + 2 2 x y Sin x

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Q: Find the general solution for each differential equation.

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