Check that the indicated function is an explicit or implicit solution of the given differential equation. dy _ хy+3x- у-3 : y-5In(y+3)=x-5ln(x+4)+C b) dx ху-2х +4у-8

Q: Determine whether the Theorem 1.2.2 guarantees that the differential equation y' = = Vy2 – 9…

A:

Q: 7. 2yy = e-: y(4) =-2

A:

Q: y'= (x²y- y)/(y+1);when x = 3, y = -1

A:

Q: (xy – x)y'+(y +y) = 0; when x = 1, y = 2 %3D

A:

Q: solve the for the general solution of the differential equation( linear homologous equation): (D2 +…

A: We have to solve the differential equation: D2+2D-1y=0 The given equation is in symbolic form where,…

Q: Determine the general solution of the nonhomogeneous higher order linear differential equation…

A:

Q: A firm hires 3t% workers each year but loses 5% each year due to retirement and poaching from…

A: topic - differential equation

Q: 6) ( y - 2xy ) dx + 3x'dy - 0 ; y( 2) = -1

A:

Q: Verify that the function y = 2x - 6x + 10 satisfies the differential equation -y"-xy"-2y' = -24x.…

A:

Q: Solve the given third-order differential equation by variation of parameters. y''' − 6y'' − y' + 6y…

A: The given equation can be written as D3-6D2-D+6y=e4x. The auxiliary equation is m3-6m2-m+6=0. Using…

Q: Using the method of undetermined coefficients, The general solution of the differential equation y"…

A: Let us consider the differential equation y''+Ay'+By=Q(x) To solve the equation using undetermined…

Q: Verify that y1 = x^3 is solution of the differential equation x^2y′′-6xy' +12 y = 0. Using reduction…

A:

Q: Determine the solution of the differential equation d5x ,d*x d3x d2x + 12 + 8 - ds5 ds4 ds3 ds2 а. x…

A:

Q: Find the gene solution of the differential equation y+2xyy'-e-2yy'=0

A:

Q: particular

A:

Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: Find the particular solution that satisfies the differential equation and the initial condition. x²…

A:

Q: 1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

A: We have to verify the solution

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A:

Q: Find three linearly independent solutions of the given third-order differential equation and write a…

A: The characteristic equation of the given third order linear equation is m3+5m2-3m-3=0 This is a 3rd…

Q: -3-x+x. y (0) -2. y(0)

A:

Q: Find the particular solution that satisfies the differential equation and the initial equations.…

A: Find particular solution to given differential equation

Q: Find the general solution of the given higher-order differential equation. du + + 6- drs dr4 12- dr2…

A:

Q: form the differential equation corresponding to (y-b)2=4(x-a)

A: (y-b)2 = 4(x-a)

Q: Find three linearly independent solutions of the given third-order differential equation and write a…

A: We are entitled to solve only one question at a time. So, I am providing you solution of first…

Q: The Equilibrium Value for the differential equation y = (y – 4)²(y) a are O 4,0 O 4 O -4,0 O 4, -4

A: To find the equilibrium value of y ' = (y - 4)2( y ) Equilibrium Value :  Is that value where f(y0)…

Q: Obtain the particular solution of (3x2-2y2)y'=2xy; when x=0. y=-1

A:

Q: Solution of given differential equation at x = 2 is (1 – a²) – 2æy = x² - (Assume zero initial…

A:

Q: 2. (x'y* +2x²y– y²)+(x*y³ – 2x³ )y'= 0 when x = 1, y =1 %3D

A:

Q: 1) (y = 1

A: As per our guideline we can solve maximum one question you can repost other questions

Q: Find the particular solution of the differential equation y’ + 7x = 0, at y = 0, x = 3. y = 63x2/2 y…

A:

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A:

Q: I. Determine whether the given differential equations are homogenous or not homogenous. If the…

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Given that: f'x=x3-9x2;     f2=9

Q: Show that, if y, is a solution to a differential equation of the form y"+P(x)y' + Q(x)y = 0, then, a…

A:

Q: y = C1e2" sen(x)+ C2e²" cos(x) +x² + C3x + C4.

A:

Q: Determine whether the Theorem 1.2.2 guarantees that the differential equation y' = Vy2 – 9 possesses…

A: We have to solve given problem:

Q: y'= x* - 2xy; when x = 1, y = 1 %3D

A: Given. We are given a differential equation and following y' = x³ -2xy We need to find the order of…

Q: Determine the solution of the differential equation у"+2y" - 5y - бу%3D0 that has values y= 3, y = 6…

A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: Find the general solution of the differential equation or state that the differential equation is…

A:

Q: The General solution of differential equation defined by: x2 y"-2x y'-4y=0 is defined by 1 y(x) = C,…

A:

Q: Use the method of variation of parameters to find a particular solution of the differential…

A:

Q: Find the linear homogeneous differential equation with constant coefficients and the general…

A: Given the solution is y=2+3x-4x2e4x+e4x   NOTE: If Auxiliary equation of a differential equation…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.