Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² + y = 4 cos x equations: -

Q: 6. Solve cos.xdx +|1+= sin x dy = 0 y

A:

Q: Solve the following exact equations, implicit general solutions will suffice: a) (2xy+x^2)dx +…

A:

Q: Find dy dx 1) y = -1/323 ; tan 43 2 y = sec 5x 3) y = cos cos 2x + tan¹ \/ / 4) y = cot²¹ 2² 2 5) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

A:

Q: The S- 3 dx is 5 sin 6x

A:

Q: a.) 4xy" +3x³y'-7x=sin(2x)e²x b.) 5xy+3 dy dx) N = 2e+¹

A: a) The given differential equation is 4xy''+3x3y'-7x=sin2xe2x. Here, all the coefficients anx,…

Q: d du 1) (sin-1u] dx %3D 1-u2 dx -1 du 리는 [cos-1 ul = dx V1-u2 dx d 1 du 3) = [tan-1 u] dx %3D 1+u2…

A: I have solved first three part for other repost question

Q: 2 sin² x+1 cos? x +1.

A:

Q: 1) - 3dx 2) (2-3x)² dx 3) x sin (2x2 - 1) dx (2x-3)2 4) sin3x cos² 3x dx

A: Step 1:Step 2: Step 3: Step 4:

Q: Solve the following equations: 1) y" + y = secx 2) y" + 3y' + 2y 1 1+ex 3) y" + 3y+ 2y = sine*

A: The differential equation is :

Q: Find dy: dx 1) y = = = tan // -1/3 333 2 y = sec¹ 5x 3) y = cos cos2x 4) y = cot" ¹ 2 ² + tanı X/N…

A:

Q: Differentiate D = x2 + sin25x with respect to t and simplify. x2 + sin? 5x dt dt x2 + sin2 5x)1/2 dt…

A: