Verify that the given differential equation is exact; then solve it. (8x + 7y)dx + (7x+6y)dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation is exact and an implicit solution in the form F(x,y) = C is 4x² + 7xy + 3y² = C, where C is an arbitrary constant. (Type an expression using x and y as the variables.) B. The equation is not exact.

Q: there a way to check if the equation you find after applying the initial condition is correct?

A: Let  Given that dy/dx = 2x (y − 1),.      y(0) = y0. And from solved answer The general solution is…

Q: A college graduate borrows $30,000 for educational costs. The lender charges а. 4% per year.…

A: a. Let S(t) denote the loan amount after t years. The equation governing S(t) is:dSdt=0.04S-kwith…

Q: Find the order, Degree and linear or Non-Linear Differential Equations 4 d*y y dx4 | for - x = 3.

A: Order of a differential equation is the order of the highest derivative  in the differential…

Q: write the Differential equation gencral Solution of 1202 +4D+3)

A: We will find the contemporary solutions and particular solutions.

Q: This is a practice question from my Differential Equations course: Show directly that the given…

A:

Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

A:

Q: Find the differential of each function: (a) y =(x' -3)* (b) y= V1-

A: Solution of this question is

Q: differential

A: we want to solve the differential equation which is not exactwe will solve it by making given…

Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

A:

Q: Explain briefly the classifications of the Differential Equations?

A:

Q: What are modeled with differential equations?

A: Here we define the differential equations.

Q: 3x2y +y2 2x3+ 3ху dy

A:

Q: Degree of the differential equation 1+ is defined.

A:

Q: Linearity is important because the structure of the the family of solutions to a linear equation is…

A:

Q: What is a differential? What is it used for?

A: The differential describes a variation in the linearization of a given function. It is further…

Q: What are the steps to solve first and second ordinary differential equations

A: First order and second order differential equations and their solution

Q: Write at least 5 problems in your home that relate in differential equations.

A: Cooling Coffee: As a hot cup of coffee sits on ourtable, it slowly cools down to room temperature.…

Q: Define solution of a differential equation with example.

A:

Q: How matlab and differential equations work together?

A: Powerful computational tools like Matlab, and MATrix LABoratory are frequently used in various…

Q: Is the logistic equation a linear differential equation?

A:

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A:

Q: explain the concept of a standing wave and how it applies to differential equations

A: A standing wave, is a wave which oscillates in time whose peak amplitude profile will not move in…

Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: Solving liner differential equations 2り+9hny

A:

Q: y =Cjx +Cze* %3D

A:

Q: Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She…

A: To find the general solution to the given system of the differential equation.…

Q: In which form first-order linear differential equation can be written ?

A: A general first-order differential equation is given by the expression dydx+Pxy=Qx, where Px and Qx…

Q: his is a practice question from my Differential Equations course: Show directly that the given…

A: Given functionA set of functions are linearly independent if Wronskian is non zero.and dependent if…

Q: Solve dy dx x+ V xy

A:

Q: Why do we study Differentials of Equations?

A: When we talk about differentials of equations, we're often referring to how small changes in…

Q: What is a Solution to an Ordinary Differential Equations?

A: The Solution to an Ordinary Differential Equation is an equation that satisfies the given…

Q: Is there perhaps an easier way to approach these questions? Im quite new to differential equation.

A:

Q: V34

A:

Q: What do the differentials of x and y mean?

A:

Q: Can you provide atleast 5 average or complex examples of Ordinary Differential Equations?

A: I listed 5 example of ODE with answers.