H.W: Exercise: Find the order and degree of these differential equations. dy 1. + cos x = 0 ans: 1st order-1st degree dx 2. 3dx+4y'dy=0 ans:1st order-1st degree 3. dy+y=y² 4. (y)² +2y = x² 5. y +2(y)² = xy

Q: 1. Determine the order and degree of the differential equation (A) order: 2, degree:4 (B) order: 4,…

A: Here in 1st question we have to find order and degree of the differential equation.      Note :…

Q: Determine whether the given differential equation is separable. dy + 2 sin (x + y) = 0 dx

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Q: B(X-1)casy dy = 2x siny dx dif. den kleminin genel %3D Gôzümünü bulunua.

A: Given differential equation is: x-1cosydy=2xsinydx Rearrange the terms so that similar variables are…

Q: differential eqation, find general solution for dy/dt = −3y + 4 cos 2t   thank you.

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Q: Which of the following equations is non homogeneous differential equation? O a. dz = (z + y)? O b.…

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Q: Assignment 2 Determine whether the following equation is a solution to the corresponding…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: dy The standard form of the differential equation cosx =1-y sinx is dx Select one: O a. +y sinx =…

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Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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Q: dy (b). 3x+2y y(-1) = –1. , dx 3x+2y+2 '

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

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Q: xyy"+kry (ry-y) =0 diferansiyel denklemini uygun bir dönüşüm ile Cauch Euler denklemine yiniz. Elde…

A: Given equation is  x2yy''+kxy'xy'-y=0                                 (i) Eq. (i) can be written as…

Q: 2. 2x + X +1 (2リー %3D 1+x²y2 dy

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Q: Solve the following equations. 1. (x* +2y)dx – x dy = 0 2. y' = cscx - y cot x %3D 3. y' = x³ - 2xy…

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Q: Solve the given differential equation y liv) -81y = 0 %3D O a. y- c,e + cze 9* + C3cos3x + C48in3r +…

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Q: dy Consider the differential equation - 2r da (A) At the point (1, -1), the direction field has a…

A: This question can be solved using the concept of direction field.

Q: Q-11 Find the order and degree of the d 3 - d²y \ 2 equation V - 4 = 0. dy dx - dx?

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Q: dy sec z The general solution of the differential equation by direct method: da 1+3 tanz

A: Given dydx = sec2x1+3 tanxdy = sec2x1+3 tanxdx∫dy = ∫sec2x1+3 tanxdx                             (1)…

Q: Q) Find the general solution. dy x+ secx(xsinx + cosx)y = secx dx

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

Q: Consider the differential equation for y(x): a) d'y dx² dy 4- da + 4y = 0. Consider the auxiliary…

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Q: 10. Find the solution of the differential equation ( D+ 8D° + 16D y = 0 y = C, + (C, + C,x)cos y =…

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Q: 5. y = ae + be 3r + ce".

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Q: 10e²x When x = 0, y = 0, y' = 0 9. (D2+1)y= Ans: y=-2 cos x-4 sin x + 2e2x

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