ii- (x* + y) dx - ry dy = 0, y(2) = 1 (using Integrating Factors)

Q: Find the complete integral of non linear First partial differential…

A: Given equation is  p2+q2x=pz , p=∂z∂x,q=∂z∂y Let, f=p2+q2x-pz Now, differentiating f partially w.r.t…

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: Solve the partial differential equation of Lagrange’s form y^2 zp-x^2 zq=x^2 y.

A: We will solve the pde using lagrange's auxiliary equations.

Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: Find the general solution of the differential equation using integrating factor.…

A:

Q: Find the differential dy of y=√x. Show complete solution

A:

Q: Use integration to find a general solution of the differential equation.

A:

Q: Use separation of variables to find product solutions of the partial differential equation, ди + əx…

A:

Q: Use integration to find a general solution of the differential equation        dy/dx = 4x2 + 7

A: Given ,     dydx=4x2+7      dy=4x2+7dxThis is variable seperable form .

Q: Use integration to find a general solution of the differential equation       dy/dx = (6 − x)/3x , x…

A:

Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

A:

Q: Use separation of variables to find a solution of the partial differential equation - 2 = 0, with…

A:

Q: Explain of the method of proving the derivative (dy/dx) of y=U(x)ᵛ⁽ˣ⁾ where U(x) and V(x) are…

A: y=uxvx, where ux  &  vx are the differential functions of x. To differentiate these type of…

Q: Integrate SxIn x)dy

A:

Q: (x-y)y-y-tanx is second order linear differential equation.

A: False.

Q: Use integration to find a general solution of the differential equation                      dy / dx…

A:

Q: satisfies the differential equation Show that y = x+ Vx' + dy - m°y = 0 + x- dx

A:

Q: Find a function F(x,y) whose level curves are solutions to the differential equation (x2 + 4xy)dx +…

A:

Q: 5. y" + y - sec z tan z

A: Given that, The DE is following, y'' + y = secx tanx We have to find the general solution of this…

Q: What is an integrating factor of the nonexact DE  (2y^2 + 3x) dx + xydy = 0 ?

A:

Q: 2dx/dy-x/y+x^3cos y = 0 Differential Equation

A: • The given equation is a Bernoulli's equation which is a special type of 1st order non-linear…

Q: What is the integrating factor of (y – cos² x) dx + cos xdy = 0?

A:

Q: The integrating factor of non-exact differential equation (z y-)dz- (-z'y)dy=0 1 1 1

A: Given differential equation is

Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

A:

Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

A:

Q: dy Show that y 1 - + 2 is a solution of differential equation dx 1 -

A:

Q: Use integration to find a general solution of the differential equation       dy/dx = cos 2x

A: The given differential equation is  dy/dx = cos 2x.

Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

A:

Q: Use integration to find a general solution of the differential equation                  dy /dx = x…

A: Given: dydx=x1+x2 Multiply both sides by dx dy=x1+x2dx

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist

A:

Q: (1+ y) dx – (1 + x) dy = 0

A: To solve the given differential equation: (1+y)dx-(1+x)dy=0 using the separation of variables.

Q: Use equation reducible to Linear form method then find the integrating factor of the dy -5y =x' dx…

A: Given: xdydx-5y=x7 To Find: The integrating factor of the given differential equation

Q: 6. Use separation of variables to find product solution of u(x, y) for the partial differential…

A: Given,            ∂2u∂y2=∂u∂x+xu                        (1)

Q: Find the solution of non linear partial differential du equation ди = U бу dx

A:

Q: Uygulamayı bitir d'y dx +25 +2y% = General solution of %3D dx cos x differential equation

A: The general of a non-homogeneous ordinary differential equation a(x)y''+b(x)y'+c(x)y=d(x) is:…

Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

A:

Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

A:

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

A:

Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)V(x) where U(x)and V(x) are…

A: We have to explain of the method of proving the derivative dydx of y= U(x)V(x) where U(x)and V(x)…

Q: dy Obtain general solution of- 3/xy dx

A:

Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

A:

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

A:

Q: Determine a region of the xy-plane for which the differential equation = y – x² would h dx unique…

A: Given, the differential equation                               dydx=y-x2

Q: The integrating factor of non-exact differential equation (z'y - 2)dz – (sf –*y)dy -0 1 1

A: With the standard results of integrating factor, we find it.

Q: Use integration to find a general solution of the differential equation       dy/dx = 2e3x

A: Consider the given differential equation as dydx=2e3x

Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.