dx -(I+ 2x tany) ay co

Q: 3- y = sec x prove that d? y + y = 2y3 dx2

A: We have to prove the given differential equation to be true.

Q: Solve diffrential equation (1+x²) dy + (y - tan cx 1 ) d x = 0

A: Express the equation (1+x^2)dy+(y-tan^-1(x))dx=0 as…

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

A:

Q: y" ~2y² + 5y = 4e²x cos2x

A: Solution of the non- homogeneous higher order differential equations.

Q: y+ 2y+ 4y = x.cos3x

A:

Q: y = tan(x + y) – 1 %3D

A:

Q: ▪TT/2 sinx sinx+cosx 0 dx 3:47

A:

Q: tan-1 y y² +1 tan-1 y ) dy

A: We’ll answer the second question since the exact one wasn’t specified. Please submit a new question…

Q: slove the DE cos x dx/dy +ysinx =sinx cosx

A: r(x) = y'(cos x)  +y(sinx) =sinx cosx   The complementary equation Put r(x) = 0  is (cos x)y' + (sin…

Q: x2 Vcos(t) +3 at 1. COS 2.

A: Given that, the integral ∫2x2cos t + 3 dt

Q: z = sin(6x) sin(5y) az az dy II

A:

Q: (D² – 2D - 3)y = 2sin x a. , =cosx -sinx =-cosx -sinx c. = -cosx +sinx COSX 1 b. yp С. Ур 21 COSX d.…

A:

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: (Yp)for y2) + 4y = 3cos2x ;is %3D اختر احدى الدجابات a. y = c, cos2x + C2sin2x b. y x2(Acosx +…

A:

Q: Jsin(x)cos(x² + 7)dx 2 2

A: Solving the problem

Q: d x 2. 1+xVI-(Tanin)

A:

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: d dr -x² + e³¹ - tan(x) dy²-sin(y) dy cos(y) +2 d dx -√x+e²

A:

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: (tanxaa

A:

Q: Intergrate:

A: To evaluate the integral.

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: For | cos 3x cos 4x dx :

A:

Q: dx V2x – x2 arcsin(x – 1) + c -

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.