Find the particular solution of the differential equation satisfying the initial condition y(4)=ln⁡(4). y=?

Q: Find the particular solution of the first-order linear differential equation for x > 0 that…

A: Given differential equation is: y'+1xy=0 Initial condition is: y2=2 We have to solve the above…

Q: Solve the differential equation y' = x(y – 3) with initial condition y(0) = 1.

A: Solution :-

Q: Find the particular solution of the first-order linear differential equation for x > 0 that…

A: Find the particular solution of the first-order linear differential equation for x > 0 that…

Q: ху xy' = y(1+ln2)

A: The given differential equation is  xdydx=y1+lnyx

Q: Find the general solution of the first-order differential equation                       y′ = 2x√(1…

A:

Q: dr Find the particular solution of the differential equation -10 that satisfies the initial…

A: By using variable separable method, we calculate the given differential equation.

Q: The solution of the differential equation In(y')=2x-y is given by

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Q: Find the general solution of the first-order linear differential equation. xy' + y = x³3 + 1

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Q: find the general solution of the first-order linear differential equation. y' − (ln x)y = xx

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Q: Find the particular solution of the differential equation 2xy′ − ln x2 = 0, x > 0 that satisfies…

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Q: Find the general solution of the first-order linear differential equation. 8y xy = x-2

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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: Find the general solution of the first-order linear differential equation y′ − y = 10

A:

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

A: Given differential equation is y''-y'-2y=2 e-x   Let the particular solution of this differential…

Q: Find the general solution of the given higher-order differential equation. у" - 2у" — Зy' — 0 y(x) =

A:

Q: Find the solution to the differential equation y' = 2xy? which satisfies the initial condition y(2)…

A: Given query is to find the solution of the differential equation.

Q: Find the particular solution of the first-order linear differential equation        y′ + y = 6ex…

A: y'+y=6ex Comparing with y'+Py=Q, we get P=1 & Q=6ex Now the integrating factor is, IF=e∫P dx=e∫1…

Q: Solve the given differential equation with initial condition.  y' = 2y, y(0) = 2

A: given,             y'=2y       and y(0) = 2

Q: Find the general solution of the first-order linear differential equation xy′ + y = x2 ln x for x…

A: The first-order linear differential equation ,  xy'+y=x2lnxfor x>0. Solve the equation for the…

Q: Find general solutions of the differential equation      y'=y+y^3

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Q: y' = y + y3

A:

Q: Find the general solution of the differential equation y′ = x(1 + y)

A: Given differential equation - y' = x1+ydydx = x1+ydy = x1+ydxSeparating variables - dy1+y =…

Q: The solution of the ordinary differential equation y" – y" = 0 is:

A: The given ordinary differential equation is:y'''-y''=0The auxiliary equation is:D3-D2=0

Q: -24 dy - x - $) e %24

A: Given differential equation :

Q: Use the initial condition to find the particular solution of the differential equation. y'-e = 0 ,…

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Q: A particular solution of the differential equation y" – 2y' + y = e* is

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Q: Find the solution to the differential equation y' 2ay that satisfies the initial condition y (0) =2.

A: This is Separable differential equation

Q: y' = (4x + y)²

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

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Q: Find the general solution of the differential equation xy′ = y

A: Since, we have to find the general solution of the differential equation given below:-xy'=y-(i)

Q: Find every nonzero solution of the differential equation y = y +2y°.

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Q: निर्न Cx-3)e

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Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: find the general solution of the first-order linear differential equation. xy' + y = x

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

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Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

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Q: Find the general solution of the differential equation using any method         y′ = ln(x2 + x)

A: we have to find the solution of the given differential equation  y′ = ln(x2 + x)

Q: Solve the initial value problem of first order linear differential equation: x+y=e*; y(1) = 2.

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

Q: Solve the particular differential equation, with the initial condition: y(0)=0

A: Use separable variable method

Q: Find general solutions of the differential equation    (x+y)y'=1

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Q: Find the general solution of the equation by looking for a special solution of the homogeneous part…

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Q: Find the general solution of the given third order differential equation. y" +y" – 2y = 0

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Q: Solve the 2nd order linear differential equation y" + y' +10y =

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Q: 1. x²y y' = ey

A: Lambert W Function: The general solution of any equation of the form xex = a is given by the…

Q: use the method of variation of parameters to determine the general solution of the given…

A: First calculate the complementary function.

Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.

Q: Find the particular solution of the first-order linear differential equation    y′ − (3/x)y = 2x3…

A: Given differential equation is: y'-3xy=2x3 .................. (1) The above equation is linear in y.…

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A: The given differential equation is: 4y dx+x dy=0 ;           y(2)=-0.10

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.