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

A:

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

A:

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: d^2y/dx^2 − 6 dx/dy + 9y = 2 + x^2 − x^3

A:

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: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

A:

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)…

A:

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

A:

Q: 2x³y' = y(y² + 3x²) a. y-2x2 -x +c b. yx3 -x + c C. y2x x3 -x+c d. y'x2 = -x +c

A:

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

A:

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

A:

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

A:

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

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

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

A:

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: solve the following D.E dy 3x - Y = Ln X+l

A:

Q: 1. ſe-5*dx el/x2 2. x3 5e 4lnx dx ,3.

A: ∫emx dx = emxm + C , where 'C' is the constant of integration.

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: Solve for Linear DE of Order n: y′′−3y′+2y=cos(e^−x)

A: Using General Method of Linear D.E.

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

A:

Q: 2. y" + y' = cscx %3D

A: 2. we have  y''+y'=cscx  first find C.F m2+m=0m(m+1)=0m=0,-1y(x)=c1e0x+c2e-x=c1+c2e-x

Q: To F= G(s)= B(s) 2555+35 + 6 %3D A(S) stos't l1lS+ 6 Find F4) b] laPlase?

A: