Solve the non-homo. D.E. 1.y" + у%3D Зе2x

Q: The equation y2 cx is the general solution of: (Hint: Remove the arbitrary constant "c") %3D

A: Given problem is to find the differential equation where the general solution of differential…

Q: Solve the following IVP 4y′′ + 24y′ + 37y = 0; y(π) = 1; y′(π) = 0

A: Given condition y(x)=1 and y’(x)=0 Differentiating with respect to x, we get Y’x =c-3x d/dx (c1 cos…

Q: Let y(x) be the solution for the DE: y = (x + y-1)? If y(0)– 1, then find y() 3元 O 2+7 O8-7 O 2-7

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Q: ) Use the d'Alembert solution to solve = 2 -00 0, 1 u(x, 0) = e, u(x, 0) : 1+ x2*

A: As per our company guidline we are supposed to answer only first question. Kindly repost other…

Q: xarctanydx + dy = 0 2(1+ y²)

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Q: Solve the given DE y'= X - x 3 — 2y 3 3ху 2

A: We have to solve the differential equation

Q: b. » [*[*(x²y + xy²³)dydx

A: Solution :-

Q: Find the singular solution to the Clairaut equation y = xy' + In(- 19 -y').

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Q: O': what is the general solution of the equation. dy dr xy

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Q: Solve the given DE: 2ydx=3xdy, when x-2, y=1. O y=(x/2)^(2/3) O y=(x/2)^(1/3) O y=(x/3)^(2/3) O…

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Q: Let y(x) be the solution for the DE : y = (x + y + 2)2 If y(0) = -2, then find y() ○2-푸 O 8 - T O -…

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Q: x°y"+ 2x?y"+ xy'- y=0

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Q: rydc+(2x2+3y2-20)dy=0

A: Given DE is xy dx+2x2+3y2-20dy=0 solve the given DE

Q: We are also given that eRd, where is that in the solution?

A: The previous answer is not correct....See this answer

Q: 12 v = In(x) + C 2 -In(v)

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Q: Let y(x) be the solution for the DE : y = (x + y – 1)2 If y(0) = 1, thenfind y(4)

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Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: Solve for the value of x, and x, using Gauss-Jordan Elim. x,-5x, =-4 7x, – x, = 6

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Q: The solution of y' = e**V is e¯Y= - e'+c Select one: O True False

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Q: Sc ot'(3y)dy

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Q: olve the following initial value problem and 1. y" + y' + 9.25y = 0, y(0) = 2 %3D

A: Introduction: Differentials or derivatives are contained in a differential equation (or "DE"). The…

Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: Find the gcneral Solution 2. cdy - 3y = C di

A: Since the given differential equation is a second order Euler homogeneous differential equation,…

Q: Find a particular solution to y" + 6y + 8y = -7tet.

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Q: Solve for the solution of the DE: y(4) – 9y" + 20y = 0

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Q: Let y(x) be the solution for the DE: y (x + y +2)² If y(0) = -2, then find y() 7- 3 4 2+ O 8 JTO 3…

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Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: (1- х?)у' — ху%3D 3x(1 — х?)

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Q: y(4) + 3y" + 2Y = 0

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Q: y" – 4y' + 8y = x², y(0) = 2, y'(0) = 4

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Q: The solution of DE.s divided into complementary solution and particular solution. * O True False

A: Consider a nth order differential equation dnydxn+dn-1ydxn-1+dn-2ydxn-2+.........................+y…

Q: Solve the given initial value olem. w" – - 4w' + 2w = 0; w(0) = 0, w' (0) = 1 %3D

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Q: Solve for the solution of the DE: y(4) – 8y" + 24y" + 32y' + 16y = 0

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Q: The solution of the DE (1+ cot²x)y' = cscx coty is

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Q: Solve : 2we +3ux u (x, 0) = x Solve : Sub yeck to u (x, ,0) = x+y 4.

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Q: 5. y" = 4 А. X В. 2х? C. ½ x? D. x'/3

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Q: Find the general solution of the given second-order rerential eque 5y" + y = 0 y(x) = %3D

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Q: Find the general solution of the DE: y" + y" – 16y' + 20 = 0.

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Q: y" = 4

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Q: Determine a general solution for the DE : y" + 2k?y' + k*y = 0

A: We have to find the solution for given differential equation

Q: Solve the ruiftlal -value problem sy'-3 y =0 1 yl0) = - | y'(0) = 24 ニ ylo)= ? %3D

A: The differential equation is given as 2y''+5y'-3y=0 The corresponding auxiliary equation is…

Q: Solve of the following equation 4 y' +y = x'y? Given by x In x – c -x In x + c Option 1 Option 2…

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Q: The general solution of the DE y" -y" + y'-y 0 is

A: we have to find out the general solution of the differencial equation y'''-y''+y'-1=0

Q: let y"(x) + y(x) = 0 be given What would be a suitable solution y(x)?

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Q: R V(In r) C.

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Q: 10 et e 2. dy et + e-¤

A: Given: The integral

Q: 2y" + 9ху' — 36у%3D0

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Q: y™ -2y = 0 %3D

A: Given the differential equation y''''' - 2y'''' = 0. Auxiliary equation is m5 - 2m4 = 0

Q: The solution of y' = e'+V is e V= - e'+ c Select one: O True O False

A: Given differential equation is                                           y'=et+y we have to check…

Q: 3x?y" + 2xy' = 05 21"

A: Differential equation

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.