dy a) -2y=e³x, y(0) = 4 dx b) xy' +y = 3x², y(1) = 4

Q: (2xy) dx + (y²-3x²) dy = 0

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Dy/dx=(3x-5)(x+1);y=1 when x=-1

A: Given equation is: dydx=3x-5x+1 And the condition is: y=1 when x=-1

Q: Given 3x²-5y³ = 4x² + y² - 7 find dy dx and d² dx² y at the point

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Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: CALCULATE USING A HOMOGENOUS EQUATION. GIVE THE GENERAL AND PARTICULAR SOLUTION. SOLVE NUMBER 3 THE…

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Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: Vỹ + }xy¬2/3 dy dx

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Q: Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy…

A: To find the slope of the tangent line to the curve  at the point .

Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: 2 y (4- y²)³ dy

A: The objective of the question is evaluate the definite integral.

Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: d²y - x² = 0 with dx2 (x = -3) = 2, y(2)=4 dx

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Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Find dy -, if dx dy dx y = u U³ || - u and u = 4x² + 1.

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Q: Y = 4x²-5 Vsx dy=?

A: We want to find derivative of y, The given expression for y is,               y=4x5-55x

Q: 1- 2r (1 + y')dx - y (1 + 2x)dy =

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Q: d²y + 4y = 8x² ,y(0) = -3,y'(0) = 0 dx2

A: We have to solve the differential equation using initial conditions.

Q: J. (z+z^3 )dx+(x+1)dz=0 K. (x^2+4)^(3

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Q: Resuelva dy 2xe* -y+6x² dx

A: The given differential equation is:xdydx=2xex-y+6x2

Q: Solve: x- dx dy - (x + 1)(1 + y*).

A: First separate the variables than integrate and solve the  differential equation .

Q: If yx^2 + y^2 = x, then the dy/dx is

A: Using derivatives formula.

Q: 2x² 3x²-5x (a)y=-

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Q: X- dx dy + (x – 7)y = 8x'

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Q: d'y If y = In(secx) and when x = then equals 4 dx? (a) 2 (b) 0 (c) 1 (d) 4 (е) 4

A: In this question we have to find the value of d2ydx2 when x=π4. Formula used,…

Q: dx xy dy x² + y² Ans. y² = 2x²ln (

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Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: 2. +x +1 d

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Q: find dy/dx x(х+1)(х- 2) (х*+1)(2х+3) 25) у%3 43) у%3D 1+(lin x)? 1+(ln x)?

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