1- Selve the follocwing first - order differential equation:- dy (xy+2ど)= xy + y a Xeて

Q: A differential equation of first order and first degree is homogeneous if ans. None of these dy dx =…

A: We want to find true option.

Q: evaluate the differential equation: -5y +4y =z-2+

A:

Q: Find the differential equation such that y(x) = c,(x– 1) 2+czln(x – 1)(x– 1)

A: we will eliminate the variables by differentiating

Q: Determine a function Mx,y) SO that the differential equation [ysin(2x) - x?y?]dx + N(x,y)dy D0 is…

A:

Q: Determine the order and degree of the differential equation, 2x +5x² () - - xy = 0. dx a. Fourth…

A:

Q: Q3/ Choose two only a. if y - asin3x + bcos3x satisfies the differential equation + 4 + 3y =…

A:

Q: Consider the differential equation: (x + 1) dy -y + 10 dx (a) Is the equation separable? If yes,…

A: The given equation is, x+1dydx=-y+10.

Q: d²y dy Show that --6y = 0 is the differential equation representing y = ae³* +be-2% by | eliminating…

A: Given d2ydx2-dydx-6y = 0A second order linear , homogeneous ODE has the form of ay''+by'+cy - 0For…

Q: Solve the differential equation using Reduction of Order (D² + 2D + 1)y = (e* – 1)-2

A:

Q: The differential equation obtained by eliminating an arbitrary constant m from the relation y = m-67…

A:

Q: Solve the differential equation using Reduction of Order (D² + 2D + 1)y = (e* – 1)2

A: Solution of the problem as follows

Q: Consider the differential equation. y 13/2 %3D 13/2 (x2+32) (x2+y2)'

A:

Q: Let F(X) be the particular solution of the day y 4- dx2 = 24. Differential equation Determine the…

A:

Q: Show that y = e-6t satisfies the differential equation y" – y – 42y = 0.

A: Explanation of the  Proof is given below..

Q: Consider the differential equation x²y " – xy ' + y = 0. Given that y(1) = 2 and y '(1) = 3,…

A:

Q: Find u from the differential equation and initial condition. du -e-2.8 (0) - 3.5. dt %3D

A: solution of the given problem is below...

Q: Find the general solution of the second order differential equation dy dy 10 +24y 0 dar dr?

A:

Q: Solve the differential equation y' = x¹y subject to the condition that y = e¹ when x = 0. e4 y(x):…

A: The detailed solution is given below Thank you

Q: Find a linear second-order differential equation F(x, y, y', y") = 0 for which y = c,x +c parameters…

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A:

Q: V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential…

A: As per the company's guidelines, we are suppose to answer the first question. Kindly repost the…

Q: Write an equivalent first-order differential equation and initial condition for y. y= -1+ ](5t -…

A:

Q: Determine the degree and linearity of the given Differential Equation: - 2 + yw = 0 a. 2nd, Linear…

A: Given differential equation d2wdx22−2dwdx4+yw=0 We have determine the degree and the linearity of…

Q: Suppose that y1 and y2 are both solutions of the differential equation tay"+3t°y'+t?y = 0, defined…

A: Answer

Q: Find the implicit general solution of the differential equation given. Assume x and y are non-zero.…

A:

Q: Solve the differential equation. dz + 6e+z = 0 dt z = -In( · C) Need Help? Read It

A: We have to solve the differential equation .

Q: dy The solution of the differential equation using variable separable = 3/1-

A:

Q: Consider the differential equation dy dx = x(3+ 2y) with a particular solution y = f(x) having an…

A:

Q: Q4 (a) Identify the homogeneity of the following second order differential equation and state the…

A:

Q: 4 dx d*y d³y 8 d²y + 16 dx² 12y dx dx3 + 9 y = 0

A:

Q: Use order reduction to find the solution of the differential equation. 4x²y"+y= 0; y, = x² In x 1/2

A: Let y1(x) be non-trivial solution of differential equation y''+p(x)y'+q(x)y=0 and let…

Q: Get the differential equation. ( 3x?y + e )dx + ( x3 + xe - 2y)dy3D0 (Highlight the test of…

A: Given differential equation is of the form of Mdx+Ndy=0. First we check given differential equation…

Q: Determine the solution to the initial value differential equation y'+ 8 y2 e4 x 0, y (0) = 9 y (x)…

A:

Q: Find an autonomous differential equation with all of the following properties: equilibrium solutions…

A: Equilibirium points are y = 0 and y = 5. y' will be either -y(y-5) or y(y-5). If y'=y(y-5), then for…

Q: (dN/dt)+N=Nte^(t+2) First order differential equation

A: From the given problem:   dNdt+N=Ntet+2   From the variable separable of the differential equation:…

Q: Classify the differential equation xy' et -y = Vã – 5y . (Do not attempt to solve the eqr x + 1 O…

A:

Q: Let y' – 35y = 7x*e5x. Is this differential equation pure-time, autonomous, or nonautonomous?

A:

Q: Get the differential equation. xy²dy = (y³ – x³)dx (Highlight the result of substitution, result of…

A:

Q: The differential equation (y")* +xy(y") =x of order 3 and of degree 4 Select one: O True O False

A:

Q: Determine the special solution of the ordinary differential equation of order 1 below and describe…

A: Given: 4 d^2y/dx^2-(4*5)dy/dx-(3*5)y=0, y(0) =1,y'(0)=5

Q: Classify the differential equation: 3 () -7() + 6y = sec z d*y da4

A: The order of a differential equation is defined to be that of the highest order derivative it…

Q: x Iny dx + (x- In y)dy = 0

A: Use  term 'y ln (y)' instead  of 'x ln(y)' then we get the solution to DE.

Q: Q-4. Form the first-order differential equation of y = e(sin y+z) %3D

A: We have to find the first order derivative first.

Q: The differential equation formed by eliminating the arbitrary constants A and B:y= Ae" + Be O yll –…

A: We have to obtain the differential equation by eliminating A and B.y=Aex+Be-x

Q: Form the differential equation for the function 2x-y = asin(2x - b) O a. y" + 4y = 8x O b. y" +y = x…

A:

Q: Use separation of variables to find the solution to the differential equation = 18y – 72 subject to…

A:

Q: soWE THE DIFFERENTAL FQNATUON Zydx-(3xy°dx - xdy =0) %3D when x= 2 ,y=2

A:

Q: 21. Match the slope field with the differential equation. a. y' = -x/y b. y'=-y/x c. y' = x/y d.…

A: 21. a Given differential equation is y'=−xy. The slope field of y'=−xy is given below b Given…