Solve the following equation dy - 4t+ 6y = t3 +1 dt2 dt

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Q: a) sec²t + dt 2 + V5 b) ys – 2y c) - dy

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Q: Obtain the general solution to the equation. (6t + 2y + 3)dt – dy =0 The general solution is y(t) =…

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Q: Solve the following system of equations. 2 dx/dt + dy/dt − 2x − 2y = 5e t dx/dt + dy/dt + 4x + 2y…

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Q: HW/ solve the simultaneous D.Es. using L.T. y'+z =t, z'+4y = 0, y(0) = 1, z(0) =-I,

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Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

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Q: ....** ........* The equation y2 = cx constitutes an implicit general solution to the DE: %3D Select…

A: y2=Cxy2x=C differentiating  both side  dx-1y2dx=dcdx

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Q: Solve the following first-order linear DE's. a) y' + 2y = x³e-2x b) y sin2x 7 +: y c) x²y' +3y = x?

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Q: 3 (E1)² Drive this equation dT to ds 2 R2 W, * + (Xe)2

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A: We will use method of  characteristics to solve the 1st order given differential equation

Q: Q: Solve : ー4t y"+2y - Sy dt = e s(t-3) 1リ %3D yco) = 0 っy c0=0 (0) = 0

A: We have to calculate function from the given question.

Q: Obtain the general solution to the equation. (3t + 4y + 2)dt – dy = 0 The general solution is y(t)…

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Q: Q5) Solve the system dx +y = et dt dy dt

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Q: Q3: Solve the following simultaneous equations to find x=f(t) using D-operator method only. dx dy =…

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Q: Ex: FIND A COMPLETE SOLUTION OF EQ. y" + 3y" + 3y' + y = 0

A: The given differential equation is y'''+3y''+3y'+y=0. Find the complete solution of the differential…

Q: Obtain the general solution to the equation. (5t + 5y + 2)dt – dy = 0 The general solution is y(t) =…

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Q: solve the following system of equations: x'=dx/dt=7y+7e4t y'=dy/dt=5y-3e-5t x(0)=2 and y(0)=3

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Q: Solve the following system of equations. dx/dt = x + y dy/dt = −2x + 4y subject to the initial…

A: Given that system of equation is  ddtxy=11-24xy Let's find the eigen values using the formula that…

Q: Solve the following separabledifferential equations: yy +x = 1, if y(1) = 1

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Q: 2. Solve the IVP: dy + 2y = te-2t, y(1) = 0 dt

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Q: Solve the given initial-value problem. dy 3D х+ 4y, у(0) %3D 6 dx y(x) =

A: Given that dydx=x+4y , and y(0)=6We need to find the solution of above differential equation.

Q: Obtain the homogeneous linear equation satisfied by the following given function 1. y = 4e2x + 3e¬x…

A: The homogeneous linear equation satisfied by the given equation: Part(1):   y=4e2x+3e−x⇒3e−x=y−4e2x…

Q: Solve the following initial value problem by the method of separation of variables. dy 2x+1 ,y(0) =…

A: To solve the given initial value problem.

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A: We have to solve the given differential equation.

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A: We have to solve the general or particular solution for the following homogeneous equations (25x +…

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Q: (y – /x² + y² ) dx – xdy = 0, x = 0, y = 1 -

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Q: 4. Solve the following cifferential equation: (- de + 2 xy dy = 0.

A: (4) Given            (x2-y2)dx+2xydy=0

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Q: Q4) Solve the following homogeneous DE: 2y +x y'

A: Answer is mentioned below

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Q: *+ 2y = te-2t, y(1) = 0 2. Solve the IVP: dt

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Q: B/Solve the following equation - 4t + 6y = t³ + 1 dt2 dt

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Q: y" + 4y' + 3y = 12

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Q: 12. Solve the following first-order equations: dy b. x(1 – x), with x(0) = x, and 0 < xo < 1 dt

A: Given differential equation is linear

Q: (B) Solve the following simultaneous equations: dx + 4y = e2t dy -Зх + 2 dt dy + 2x + 2 -y 0 dt dx -…

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Q: Obtain the general solution to the equation. (3t + 4y + 2)dt – dy = 0

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Q: Find the solution of the following IVP: y(t) = = dy dt 2ty=9t²e, y(0) = 5.

A: We have to solve the given IVP.

Q: Obtain the general solution to the equation.   (2t+y+5)dt−dy=0

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Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: )dt + (ye y + dy = 0 1² + y²,

A: Given differential equation is exact.

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Q: Solve the following initial value problem: dy =-2y+ 6 y (0) = 7 dt y (t) = %3D

A: we are allow to solve one question at a time thank you

Q: Use the substitution z = y^2+ t −1 to solve 2yy′= y^2+ t −1

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Q: Solve the following Bernoulli equations. dy :- 4y = 4y² dt

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Q: Solve the following initial value problem: dy t + dt 3y² (³,²-1²): y(t)= -55/366 2y4 = 0, y(1) = 3.…

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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.