SS cos(x)esin(x)-2y dxdy

Q: dx (2) 3y sin x 2xy cos x = 0 dy (3) 3x²y² + 2x³y -= 0

A:

Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: dy dx ytsinx I+ CoS X

A:

Q: 3. dx –x' csc 2 ydy -dy tan 2y

A: Given that: dx-x3csc2ydy=xtan2ydy

Q: 1. (3xy - 4y - 1)dx + x(x-2)dy - 0

A: This is a problem related to differential equation. First of all we will convert this equation into…

Q: (16) cos (xy) find dy/dx

A:

Q: S+ xcos (nx) dx + (π-x)(cos(nx)) dx

A: Here we will use integration by parts  let f(x) and g(x) are two function of x then…

Q: Evalualte! dx cosX x+ メ+ 1

A: Given:

Q: 3. Solve (x+y-1)dy = (x-y-3)dx

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: 1. xyz dx dy dz

A: There is triple integration. First we integrate with respect to x, then w.r.t y and then w.r.t z.

Q: (v² +3 yx)dx +(3x² +cos y-e' )dy = 0.

A: It is problem of exact differential

Q: Li S cos(x)esin(x)-2y dxdy

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Q: -2 (b). L (3 6. Evaluate (a). dx (Зе -0.1y dy x(ln æ)³

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Q: 3X e dx 3x + 3 X e a) S x sin (4x) dx x-y=-1

A: As per guideline we have to solve only three SUBPARTS from one question. Since both questions are…

Q: у (буз — х — 1) dx + 2x dy — 0 || -

A:

Q: Solve: (1+y2)dx=(tan-1y-x)dy

A: Here we have (1+y2) dx = (tan-1y-x) dy We know that solution of the differential equation in the…

Q: 1/y * (dy)/(dx) - 1/x * ln(y) = sin x * (ln(y)) ^ 2

A: We have use the two times substitution. See on the solution

Q: dy - y cos x dx = y ln [yedk COS x]

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Q: 3. ſ cos(3x – 2n) cos (x + 1) dx

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Q: dx (2) 3y sin x - -2xy cos x = 0 dy

A: Follow the procedure given below.

Q: (y-sinx) 3. Solve the D.E. dy + dx = 0.

A: We can solve the given differential using integrating factor.

Q: (e² sin³(2r) (d) y= ln 2x2 + 1

A: Given, y=lnexsin32x2x2+1 derivate both side and find dydx dydx=ddxlnexsin32x2x2+1…

Q: xe - ye" = In(xy). Find dy/dx.

A:

Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

A:

Q: Find dy/dx ln(x+y)-cos2y-x^2=0

A: Revise this before doing the question:

Q: 3. Find dy/dx y=3^(x^2-1) x ln(3x-5)

A:

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: (y-cos^2 x) dx + cos x dy = 0

A:

Q: Bernoulli’s Equation  2ydx+ x(x^2 ln y− 1)dy= 0

A: We have a given differential equation, 2ydx + xx2 ln y  -1 dy = 0 Here , Multiply both sides by…

Q: Find dy dx I-Ln(x+3)=tかが(x:)

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Q: dy 1. Solve 2y - e dx

A: Given differential equation is dydx=2y-e3x. To find the solution. Solution: Given differential…

Q: Vi-ř dy dx dz 1/2 1-x

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Q: dx 3. S ex+ e-*

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Q: hp (x- hx- co 2y dX t (6x? - xy -X) dy »c

A:

Q: (一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

A:

Q: Find dy/dx. y = ln(Cos23x)

A: Given query is to find the derivative of the expression.

Q: (x+1) cos CK )dx + SI (xH1) cos (xf)dx x41cos (x)dx

A:

Q: dy (2xy – sinx) = (cos y – x²) dx

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Q: (cos x2) dx. Use integration by parts. 1.

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Q: 27. (x +4y³)dx dy

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Q: e) cos (x + y) - cos(x - y) =-2sinxsiny

A: The LHS of the given equation is cosx+y-cosx-y. Note that, cosA+B=cosAcosB-sinAsinB and…

Q: (2xsinycosy - x+2x²evx´ )dy =(y-sin?y -4xyex )dx

A:

Q: dy - x = x2 siny dx 3 -2 (-siny + cosy + Ce-y/2)* ANSWER: x = -

A: Note: Here, we shall solve Bernoulli's differential equation  dxdy-x=x32sin y instead of…

Q: dy x- y = x.cos² ² 1- dx

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

Q: 5. y = e-cos(x) dy dx

A:

Q: dx y of y = dy cos-1(ln (xy)) Find

A: We write cos-1 as acos for simplicity. The derivative is too complex. So, we take the help of an…

Q: d²y dx dy – 3x- dx ential equation x².

A:

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: