(x%ex - 2) Cln /x+il) edy xy =0 y CO) = -4 y'Co) =5 %3D

Q: secx (a) esinx (b) e-sinx (c) e* (d) e-*

A: The given differential equation is  1sec xy'+cosx y=2sinx To find the integrating factor of the…

Q: y" + y = sin x %3D

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Q: How do I get 2y*dx/dt + (-4xy + y' * x^2) = 0 and y' = (1/ x^2)(2xy + y - 1)?

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Q: 15. xy' = 6y + 12x*y %3D

A: We have to solve the given differential equations.

Q: (x^2)y'' - xy' + y=x*(lnx)^1/2 find the general solution of this diff eq

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Q: Dy/dy=x^2-y^2/2xy.     Y(1)=0

A: Given that: dydx=x2-y22xy and y(1)=0

Q: y" – 2y' + y = -3 – x + x², y(0) = –2, y'(0) = 1. %3D %3D

A: Given: y''-2y'+y=-3-x+x2 ; y0=-2, y'0=1 So, We can also write as; D2-2D+1y=-3-x+x2   The auxiliary…

Q: 13. y = A²x' - 3Bx %3D (x) ans : y' = 34A²X² - 3B %3D (x)

A: Given: Y(x)= A2x3-3Bx Differentiate y(x) with respect to x

Q: 4) (e* + y)dx+ (2y + x)dy = 0 %3D

A: Hence, the general solution is                                            y=-x±x2-4(ex-C)2 Where C…

Q: 2) (x² – 1)y' + 2y = (x + 1)²

A: Solve the following

Q: Which one of these equations is not separable? (1) xy' = y ln |x| (2) y' = In y' (3) = x + sin(x)…

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Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: If x + y 1 Find dx O a. -1( y^2) where y^2 means y squared represents exponentiation Ob. 1/ (y^4)…

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Q: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: y''y^2+2y(y')^2 =1 find the solution

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Q: 1. ſ f(x)f'(x) dx 2. S Vx³ dx 3. S csc?x dx

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Q: 5. (y -x')dx+xydy = 0

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Q: 1.y" + у %3D Зе2x

A: We have to solve the characteristic equation first.

Q: (1 + Iny-) (;++i" y) dy = 0; 7. dx + y(2) = 1 Ans: In y+x+xIny-=0

A: The given differential equation is  1+lny-xy dx + xy+x22y2+3yln2y dy =0   ;  y(2) =1 Compare with…

Q: 1.) xy3dx + (y+1)e^-xdy = 0 2.) dx/dy = x-2ycotx

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Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: 5-(x^2-y^4)dy/dx=xy

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Q: y"'+4y"+9y'+10y=e^-d(sind)

A: Explanation of the solution is given below....

Q: y' + 4y = e^(4t) %3D

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Q: f'(x) = 3Xt7 21x 2X and FC) =G %3D Find FCx).

A: Integration formulae: ∫xndx=xn+1n+1+C∫12xdx=x+C∫enxdx=enxn+C

Q: (D^2+1)y=10e^2x ; when x=0. y=0, y'=0. Ans: y=2(e^2x-cosx-2sinx)

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Q: Find the general solution to (1-2xy-y^2) - (x+y)^2 dy/dx = 0

A: Given: Differential equation: 1-2xy-y2-x+y2dydx=0To find: General solution of the given D.E.

Q: 2. y" y'-y = cos(5t)

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Q: Find y' and y". 4e* Y = etcz

A: Given equation is y=e4ex. Compute the derivative. y'=e4ex'=e4ex4ex'            Chain…

Q: Partial Solution of (4+sine") y'= e*((sec²e²"-y cose"); y (lnx) = 1/4

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