For items 45-47, refer to the equation: dyldx + y = y'sinx 45. What is the standard linear form of the given differential equation? O none dz/dx - z= -sinx O dz/dx - z = sinx O dz/dx +z = -sinx dz/dx + 2= sin x 46. What is the integrating factor? none 47. What is the solution to the differential equation? O none 2y = sinx + cosx + ce 2y = sinx - cosx + ce

Q: If the characteristic equation of the differential equation dy dy + y = 0 has two equal + 20 dx2 dx…

A: Quadratic Equation: A quadratic equation is an equation of degree 2. The standard form of a…

Q: Show that the given differential equation is not exact hence solve it 2²ydx – (2³ + y³)dy = 0

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Q: 3. xdy - ny dx = x"*1 dx %3D 4. 2x y' = y( y + 3x? ) 5. dy/dx +(y/x) = ( y/x )?

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Q: Solve the following exact differential equation: (y – x')dx + (x + y)dy = 0. = constant. help…

A: We have to find constant for given differential equation.

Q: d²y dy + 2b +y = 0 dx dx2

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Q: Show that the given equation is a solution to the differential equation written oppos 1) y = e*( x +…

A: given differential equationy'-y=exthen we have to show that y=ex(x+C)be the solution of given…

Q: It is known that y=A sin t is a solution of the differential equation y″+ 16y = 0. Find the value(s)…

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Q: Verify if the given function is a solution of the indicated differential equation. y = 2 cosh x; y"…

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Q: Solve the following differential equation using variation of parameter. 1 y" + 3y' + 2y 1+ et

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Q: 4. y = Cie+ C2e + Cse, where y(0) =0, y'(0) = 1, y"(0) = 2 %3D

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Q: How many parameters are there in the differential equation * у 3а сos bх + c sin bx+4 а. 2 b. 3 С. 4…

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Q: y''+25y = 20 sin 5x

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Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board

Q: What will be the Integrating Factor for the following differential equation if compaired dy + x?y=2x…

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Q: y' + y² = 3y tan x tan? x + 1

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Q: The degree of the differential equation dy (2) =# log () is d'y 03 1 not defined 2.

A: The degree of the differential equation is represented by the power of the highest order derivative…

Q: y se, SinX+G Cnn

A: Explanation of the answer is as follows

Q: 4r³ sin 20 cos 20 dr = d0 ;r = 3,0 = 22.5° %3D

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Q: For what value of k the given differential equation is exact? (4æy – 2y)dæ + (2² – 6kxy?)dy = 0. %3D…

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Q: 8. dy/dx -y+ ( x² + 2x ) y² = 0

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Q: 2. y = ln sin(x - A) +B; y" +(y)² +1=0

A: Introduction: A function y=f(x) that satisfies the differential equation when f and its derivatives…

Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy %3D

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Q: di 3. i = 25 – 25e-200t. + 200i – 50 = 0 dt

A: The given differential equation is didt+200i-50=0 ............(1) It is required to determine…

Q: Find the general solution of the following differential equation (where primes denote derivatives…

A: Consider the differential equation, y''+8y'+16=0 It is a second order linear homogeneous equation.…

Q: (-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

A: -14x3y-3e-y-1dx+2x3e-y-2x3dy=0                                (1) Comparing to standard equation…

Q: dy ху = x³e-*sin x dx + y² 5.

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Q: Solve the following differential equation Integrating Factor by Linear Equation: 1. y' + ()y = x* 2.…

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Q: State the order of the given ordinary differential equation. dzy dx2 dy V 1 + dx

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Q: 7. dy-yCot x dx = tan? x dx; y = 2 when x= + %3D 4

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Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy 7)…

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Q: Which of the followings is the general solution of the differential equation y' = sin? (x – y)? - a)…

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Q: Find a differential equation whose general solution is y = cje% + cze¯74. = 0

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Q: 9. (x2 – 9y?) dx + (2xy) dy = 0; y(2) = -1

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Q: Find the general solution of the given differential equation: y" – y = sin? z cos 2z 10 O By cos 2r…

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Q: For what value of k is the differential equation (6xy³+ cos y)dx + (3kx²y² – xsin y)dy - О ехаct? A…

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Q: (y – x + 3)dx + (x + y + 3)dy = 0;x = 1; y = 4 %3D

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Q: 34. cos x dx + (1 + + - sin x dy = 0

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Q: 4rdx + (21*y +Зу)dy 3 0.

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Q: 1 y' = 4x Yp = 2 4x 2x

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Q: a) Predict if the following differential equation is exact or not. Hence solve it. dy xy-cos xsin x…

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Q: Kindly help me with this differential equation and identify P(x), Q(x) and v(x).

A: The given differential equation is,

Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0?…

A: We will differentiate y and put in the equation and then will find the value of r.

Q: 1 y' = 4x 1 y 2х Yp = 2 4x

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

Q: Find the value of k so that equation (9x^2 y^4 + sin ⁡y ) dx + (kx^3 y^3 - x cos⁡ y) dy = 0 is…

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Q: Show that the given differential equation is exact hence solve it (Pe + 4x) dz + (2wye - 3y dy 0 +…

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Q: For what values of r does the function y = e" satisfy the differential equation 2y" + y' – y = 0?

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

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Q: Is the y=2 cos(x) is the solution of the differential equation of yy' + 2 sin 2x=0? Solve and…

A: In this question we have to find is the y=2cos(x) is the solution of the differential equation of…

Q: 8. dy/dx 9. xdy +(y+x'y² ) dx = 0 10. xdy + 2ydx xy? dx ; y = s when x 3 %3D

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