Solve: dy + y² = ty dt

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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Q: Solve dy/dx+1 =ex+y

A: It is a differential equation in form of changable in varibale sepration. So by using this method we…

Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 37. - dy y. dt

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Q: 2x (y+ 1) dx – ydy = 0

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Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Solve J. e-t sint dt. 0,

A: Introduction: The Laplace transformation is very useful in determining the integral. The Laplace…

Q: Solve 12 dy dy ty = t®y=1 dt

A: A differential eqaution of the form y'+p(x) y=q(x) yn, n ∈ℝ is called a Bernoulli differential…

Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: Solve dy りー! り(-)ニ。 dx ス+3 © xy! =1+X

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Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: (solve exact de) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xye )dy

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Q: solve the differential eq + 2x) dx = = (2y \1+x²y² |dy 1+x²y²

A: The given differential equation is: y1+x2y2+2xdx=2y-x1+x2y2dy

Q: Solve using separation of variables: dx = +(1 + t^2) sec^2 x dt.

A: Given differential equation, dx = ( 1+t2 )sec2x dt

Q: dy Use dsolve to solve dt ty+2y-t-2 ty-3y+t-3

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Q: dz %3D dt

A: Given that: z3=x3+y2, dxdt=2, dydt=1 and z>0.

Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

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Q: √2xy dy/dx =1, given y=1 when x=1

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Q: Solve (2x-10y)dy/dx+y=0

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Q: Solve: dy dr = y +e*y?

A: The given differential equation is dydx=y+exy2. Rewrite the differential equation as,…

Q: Solve this DE 1. dy/dx+secx(y-2sec3x+2sec2 xtanx) + y cotx = 0

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Q: Solve dy/dx =(4x+y+1)2

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Q: Find d²y csinx if dx2 Lm VE2 +5 dt + sinx = y – x secx

A: We can use the fundamental theorem of derivative  In order to solve the given problem.

Q: Solve for dy when y = <<+3x, x=2 and dx = 0.5. 2.500 0.125 2.625 2.125

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Q: d sec(11x – 4) dx = dt 13

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Q: Solve dy/dx +1= ex+y

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Q: dy 4. dt + 2, y(1) = 3 t

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Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: ] Integrate by parts to show that Vx dx = 2e4 - e* dx. ex. е —

A: To evaluate the given integral choose  √x as the first function and ex as the second function and…

Q: Solve the initial-value pxoblem dy dr COSX-Sinx t %3D yro)%3D0 Using Adams. Moulton.

A: Given differential equation is dydx=cosx-sinx+y Let  f(x,y)=cosx-sinx+y                 (1) 0≤x≤0.5,…

Q: Iny (x + Iny) dx - () dy =

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Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: , find dy/dx. х • 7x² V2 + cos³t dt 126. y 125. y = V2 + cos³t dt 128. y 127. y = dt 12 + 1 dt 3 + A

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Solve dy/dx+1=ex+y

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Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

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Q: Solve drc dt dy dt 200 +

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Q: dy 1- S V9+y2

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Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: b) Find if dx2 d²y Lm Vt2 + 5 dt + sinx = y – x secx rsinx

A: We will first find the first order derivatives using Newton-Leibnitiz theorem. The , we will find…

Q: calculate the derivative.

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Q: Calculate cln 2 I = Ver – 1 dx thanks to the change of variable u Ver – 1. U = -

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Q: Solve dy/dx=(x+y)2

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Q: Integrate ,(t³ – 5t? + 2)dt

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Q: solve xe dy + ) de

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Q: Differentiate implicitly to find dy/dx.…

A: Our Aim is to differentiate implicitly the function given below:-x2-xy+y2-x+y=0  -(i)  and to find…

Q: dy/dt=0.3(y-200)

A: Separate the variables and integrate both sides.

Q: y 2t3-5t2 +3, find dy/dt

A: We have to find the derivative of the given function.