Find the general solution of the following exact differentia (e + 2ry)dx + (cos y +2a y)dy = 0.

Q: Use the present value formula to determine the amount to be invested now, or the present value…

A:

Q: Verify the exactness of the given function (1+ex/y)dx+ex/y(1-x/y)dy=0 and then write the complete…

A: Solution: The objective is to find the general solution of the given differential equation

Q: If y = cos¹ (v₁²), X = find dz? 1 Vu² +1 2= ln (2x-3y)

A: Consider the given equations, y=cos-1vu2x=1vu2+1z=ln2x-3y here we need to find the value of dz.…

Q: sin? 2t and x = cos² t

A:

Q: Find the solution to the Bernoulli equation: dy/dx + 2y/x = -x²y³

A: Introduction: One of the earliest differential equations to be solved was the Bernoulli equation,…

Q: dy -y'sinx is: dx The solution of Select one: a. y3cosx+ C O b. %3D COSX-C C. V=3 CO5X + C d.…

A:

Q: (b) I cos cos(√x + 3) dx

A: b Given integral is ∫cosx+3dx. We have to solve the given integral. Use formula…

Q: 4. Find / 4 5x² dx. (36x² +20x) 7 ár.

A:

Q: Solve (e²y - y) cosx = e sin2x dy dx Select one: O a ev + 2yev-e2cosx = c O b. e+ ye+e-2cosx = c Oce…

A:

Q: Solve: y (cosx)= (9+ y²)

A:

Q: Solve the following D.Es: 1. (x+ 1) = x(y² + 1). dr

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

Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

A:

Q: Find d²y/dx² if y = x cos(2x) - sin²(x). Answer:

A:

Q: Solve the following Homogenous Equation (3x2 – y² )dx + (xy – x³y¯1)dy = 0-

A:

Q: solve for y, xyey+tan-1(x2+y2)=π/4

A: The given equation is

Q: Solve the equation: dy (4x + 5)2 1 tan x · Y = 2 ,3 dx 2 cos x

A:

Q: Find dy if sin x + 1 = cos y dx²

A:

Q: c) (x² – 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A:

Q: Find an equation such that y xe" cos(2x) is its solution.

A: To find an equation we derivative both side with respect to x.

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.