Web30 mrt. 2024 · Example 39 If 𝑦 = A sin𝑥+B cos𝑥, then prove that 𝑑2𝑦/𝑑𝑥2 + y = 0. 𝑦 = A sin𝑥+B cos𝑥 Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = 𝑑 (A sin𝑥 + B cos𝑥" " )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 𝑑 (A sin𝑥 )/𝑑𝑥 + 𝑑 (B cos𝑥 )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = A . 𝑑 (sin𝑥 )/𝑑𝑥 + B . 𝑑 (cos𝑥" " )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = A cos𝑥" " + B (− sin𝑥) 𝒅𝒚/𝒅𝒙 = A 𝒄𝒐𝒔𝒙" " − B 𝒔𝒊𝒏𝒙 Again Differentiating 𝑤.𝑟.𝑡.𝑥 (𝑑^2 𝑦)/〖𝑑𝑥〗^2 = (𝑑 (〖A cos〗𝑥" … WebIf siny = xsin a + y , then dy / dx = Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. ... dx/dy=[sin(a+y)⋅ddy{siny}−siny⋅ddx{sin(a+y)}]/sin² ... d y d x = sin (a + y) cos y − x. cos (a + y) Q. If sin y = x sin …
If $x=\\cos a + i \\sin a$, $y=\\cos b + i \\sin b$, $z=\\cos c +i ...
Web1 jan. 2024 · (xsin(y) + ycos(y)) + (xcos(y) − ysin(y))dy dx = 0 Let : R(x, y) = xsin(y) + ycos(y) and S(x, y) = xcos(y) − ysin(y) This is not an exact equation, as mentioned … Web31 aug. 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site is acrylic paint water-based or oil-based
Solve y=sin(x)+cos(x) Microsoft Math Solver
Web24 jul. 2024 · Explanation: siny = xsin(a + y). ∴ x = siny sin(a + y). Differentiating w.r.t. y, using the Quotient Rule, we have, dx dy = sin(a +y) ⋅ d dy{siny} − siny ⋅ d dx{sin(a + y)} sin2(a +y), = sin(a +y)cosy −sinycos(a + y) ⋅ d dy(a +y) sin2(a +y),...[The Chain Rule], = sin(a + y)cosy −sinycos(a + y) sin2(a +y), = sin{(a + y) − y} sin2(a +y), Web30 mrt. 2024 · Class 10 Social Science. Class 12 Maths. Class 12 English. Class 12 Accountancy. Class 12 Economics. Class 12 Computer Science (Python) Class 12 Physics. Class 12 Chemistry. Class 12 Biology. WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. is acrylic plastic a thermoplastic