Solve sz dz ; c:Iz-1|=1 C

Q: Find the solution fo (x^3-y^3)dx + xy^2

A: Here we have,  (x3-y3)dx+xy2dy=0⇒(x3-y3)dx=xy2dy⇒dydx=(x3-y3)xy2 ..............(1) Which is a…

Q: Solve DE  P2-70+12,where p=dy/dx

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Q: Solve using variation of parameters (D^2 − 1)y = e^x + 1. answer: y = (c1 + c2x)e^3x

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Q: 1. (2+ y'y' dy 2. [(1+x)? Vxdx

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Q: solve using bernoulli's equation 2xdy + y(y2lnx-1)dx = 0

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Q: Solve dy and Evaluate the answer at y=30 and C=-26

A: The exponent rule of integration states that ∫xndx=xn+1n+1+c.

Q: (x+xy²)dxte*, ydy=D0

A: Given: x+xy2dx+ex2ydy=0 ⇒x1+y2dx+ex2ydy=0 ⇒ex2ydy=-x1+y2dx ⇒y1+y2dy=-xex2dx

Q: dy - 5ecosx when y () 1 Solve for the value of C in the equation: + ycotx dx

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Q: Solve for the value of C in the equation: (3xy +2y) dx + (2x<y + x) dy = 0 when y(1) = 2.

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Q: x4+a* dx x3 5. S ydy Va?-y2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Q3: Solve d2y dy +22+y = e* dx2 dx

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Q: Ql: solve the equation (y +x )dy +(x – y )dx = 0 %3|

A: oj solving this we get

Q: Ql: solve the equation (y +x )dy +(x - y )dx = 0 %3D

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Q: ay (2х-10у), +y = 0 dx Solve

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Q: b) S2 sec (nx) dx

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Q: Solve the equations by the method of undeterminedcoefficients

A: First, consider the homogeneous case d2ydx2+7dydx=0. We solve the auxiliary equation as…

Q: 13. dx = + C 2 6.

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Q: dy x+y Solve the particular solution, da y(1) = 1

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Q: dy Find the general solution of 2x² = a? + y? dx %3D

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Q: d?x + X = secy dy?

A: We have to find the general solution of the given differential equation d2xdy2+x=secy .

Q: Q2: solve the equation dx 2x dy y y 3.

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Q: dy + my = p, solve for y

A: Given quadratic equation : dy2+my=p ⇒dy2+my-p=0

Q: Q2/ solve; dy A: dx y **= e* + y3 x+1

A: Consider the given differential equation as below: dydx-y(x+1)=exy3 Here the objective is to find…

Q: Solve the following d'y 8- + 16y = 9e2 dx? d'y dx4 using the method of undetermined coefficients.

A: The solution is given as

Q: G) (2x-yJdx + (4x. +y-3)dy=

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Q: 9= (X-1) Cx-2X) %3D

A: To solvey=(x-1)(x2-2x)x4.

Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: Show that y=x?lInx solves the equation x?y"-3xy'+4y=0, x>0

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Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

A: This question can be solved by variable separable method. In variable separable method, separate the…

Q: Solve DE P2 -7p+12,where p=dy/dx

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Q: 3. (x – 4y – 9)dx + (4x + y – 2)dy = 0 -

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Q: Solve the equation. dy dx = 7x² (8+y²) 3 N/W

A: We have to find an implicit solution of given equation.

Q: Solve the equation by using the method of variation of parameters dy 2dy 22 + 2y = e“ csc x. dx dx2

A: Let us consider the second order differential equation y''+py'+qy=g(t) Determine the complementary…

Q: (ex-y+2=-/ -32=79 dy+52=25

A: We are asked to solve the system of equations

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x³ ,33 dx

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Q: d?y 2x + 2y = x*e* dx2

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Q: dy e2x-y Q.2 Solve dx ex+y

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Q: dx х V1-4 In2х

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Q: Q4/ solve the following equations. d²y dy + 81- = 0 dx² dx

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Q: 2. Solve x dx – y² dy = 0. Answer:

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Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

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

Q: Ja 1. Suppose a < b< c, solve: i. (x) - g(x)]dx ii. (x)dx

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Q: By using method of undetermined coefficient solve (D² – 3D + 2)y = ex + e2x ;D = 4 ? dx

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Q: 2. (2x + y – 4)dx + (x – 3y + 12)dy = 0 -

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Q: Solve the Fo (lowin) D-E e* y+2 ey =2X 2X

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Q: R V(In r) C.

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Q: Solve the D.E (X+1) =x(y'い) dメ

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Q: solve fos given, dy 2. -2t "ट +-

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