Solve the DE X"y'+x°y= - csc(xy) by forming integrable combinations. 2x²cos(xy) = Cx2 -1 B 2x2 In|csc(xy) – cot(xy)| = Cx² + 1 x4 + 4cos(xy) = C xª + 4ln|csc(xy) – cot(xy)| = C

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" +…

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Q: If y = 12y sin(4z) – 12z sin(4y), then (z, y) = 6y? sin(4z) + 3z cos(4y) + h(x) O (z, y) = 6y²…

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Q: (a) Differentiate: (i) 7x2 + 14 (ii) e*(4x² + 3)

A: Since you have posted a multiple question according to guildlines I will solve first question(Q.a)…

Q: ® y"+zy'+3y=27x

A: Question 1 is solved. Solving more questions are against the policy of bartalby.  Find roots using…

Q: Exercise : Find dy O y = 1ox +3 Co sx Oy=cscxm4X+7 Catx 1+ Cotx

A: Note:- As per our guidelines, we'll answer the first three sub-parts of this problem. Please…

Q: fm üli f (x,y,z)=x'+x*y *z ' + yz ?

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Q: (2 dr z²–10z+15) Integrate:

A: NOTE: Refresh your page if you can't see any equations. . take long division

Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

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Q: ах ) x' + 4x/y 5 y² = 3 ) Vxy +1 = y ) 3xy = (x' + y' ) ) x' +x.tan¯' y = y ) sin¯'(xy) = cos"' (x –…

A: Simple differentiation

Q: 23. Integrate: S x+2 dx 2 A. V1– x² + Sin-1x + C C. -V1– x² +Sin-1x + C B.V1 – x2 +Sin-1x + C D. –V1…

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Q: Find nd cos(z ² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 81} D

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Q: Consider the DE y"+exy'+ (sinx) y = ex+2lny then the order of the DE is ✓ and it is

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Q: x3y+2x²y" + 4xy' - 4y=0 Assume the values of x are (0, 0)

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Q: Solve: [xcos² (y/x) − y]dx + xdy = 0 4lnx + sin(2y/x) = C 2y 4lnx + sin(2y/x) = C x sin(2y/x) = C +…

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Q: 2x² +10x+9 dx = ? x.(x+3) integralinin eşiti aşağıdakilerden hangisidir? X B) In x+3 A) In(x² +3x)…

A: Consider F(x) = 2x2+10x+9x(x+3)2 We will solve it by partial fraction Let Ax+3+B(x+3)2+Cx =…

Q: T c •sinx, S* San* (1 + cosx)dydx 0, 0.

A: Given: The integration ∫0π∫0sinx1+cosxdydx To determine: The value of given integral.

Q: The values of C₁and C₂ so that y(x) = C₁ sin x + C₂ cos x satisfies the following conditions; y(0) =…

A: Here we have to find the value of c1 and c2 using given conditions.

Q: V ss Vst Vts Vtt || || 11 11 V sin(2s² - 4t²)

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Q: 3. ® Find the genelal Solution of the differentral egation (D'+ 25) y = cscX Sinx t Sin 5X cos 3X

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Q: dx dt Determine all critical points of the system of equations- O (17+ (-1)+1, лn), where ne Z O (17…

A: Given system of equations are dxdt=17+xsiny and dydt=17−x−cosy. We have to find the critical points…

Q: The second order homogeneous Cauchy-Euler equation defined by: 2d²y +bx- dy ォマ +cy=0 dx2 dx (ay"…

A: We have to choose the correct answer

Q: Solve vxx + vyу %3D ху ,х € (0, п), у € (0, п ) v(0, y) = 0 v(п, у) %3 sin2y vх, 0) — sin3x v(x, 7)…

A: Given: vxx+vyy=xy   …1, x∈0,π, y∈0,πv0,y=0vπ,y=sin2yvx,0=sin3xvx,π=0 We have to solve equation (1).…

Q: dv +w + v = 5 In solving differen tial equation system dx v(x) =? dw dv 9v = 10e*, dx dx A) v(x) =…

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Q: Solve via separation of variables: -(x,0) =D0 = 0 ôy l0<y<z B.C.s{ -(x,7)=0 V(0, y) = 0 [V(7, y) =…

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Q: dy z = 3e*S, y = 3z2 + sin(z) S i5I dx %3D

A: Given,           z=3ex and y=3z2+sinz

Q: Calculate S (xyz) dz dy dx. (x=1 cy=1-x cz=2-x x=0 Jy=0 Jz=0

A: Solution-

Q: The system x' = cos(t)x+ sin(t)y y' = cos(t)x - sin(t)y is linear.

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