2y´´-5y´+3y=0   y1=e^x

Q: 4 ( Calculate -2x dy

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Q: ex- ex - y%3D ex +e-x

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Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

A:

Q: Evaluate the integral.

A: Integration is a process of finding the anti derivative of a function. There are basically two types…

Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: (2x-3y)dx+(2y-3x)dy3D0

A: As per our guideline we are allowed to answer only one question. Kimdly repost the other question as…

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: 8. (3x +y-2)dx (3x +y +4)dy = 0

A: we only solve one problem at a time so please post your question one by one.

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: d- . -x e-(x² +y²) dy dx -(x²+y²) dy dx

A: We can answer one question as per the honor policy. Please resubmit other question as well to know…

Q: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: 2ydx-(1-x^2)dy=(x^2-1)dx when x=0 and y=-1

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Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

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Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

Q: (2x-2y-1)dx-(x-y+1)dy=0

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Q: dy 2+ ytanx (4x + 5)² .3 dx cosx

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Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

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Q: 1. S 2x (x² + 1)5 dx 2, | 3х 4) ° . 3. sec2(4x) dx e8x dx 4.

A: We can use integration by substitution when a function and its derivatives are presented in the same…

Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: Evalute! 2. 2)dy dx

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

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Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: 2. 2y+ly-1 dy

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Q: Find both first partial derivatives. az

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Q: 5-(x^2-y^4)dy/dx=xy

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Q: d x dt 2+ + 3x + 5y. = LY dt -3Y-5X ex

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Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = 0

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: 1. (6x-3y+2)dx-(2x-y-1)dy=0

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Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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Q: dy dx 118 (x = 3x - 5

A: Topic:- differential equations

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: Calculate Calculate 1 f (425 - / +6²-8) dz 4x - dx. X S 5² - -x³√x² + 3 dx 3 ln³ Calculate 41³ (2)…

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Q: 3. (6x + y²) dx + 2x - 3y) dy = 0. ANS. 3x + xy² ya:

A: Here we have to solve the differential equation.

Q: /25-x2 V25-x2 -y2 1 dz dy dx -/25–x² -V25-x² -y²

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Q: 2. (2x + 3y + 1)dx – (4x + 6y – 1)dy = 0 -

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

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Q: dy/dx=x+2y-5/x-3y+2

A:

Q: 2 - (2x 3y)dx - (2y + 3x)dy 0

A: 2)-(2x-3y) dx-(2y+3x) dy=0dydx=(2x-3y)-(2y+3x)dydx=3y-2x2y+3xdydx=3yx-22yx+3y=vxdydx=v+xdvdx

Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.