Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

531.

If space straight x equals log space straight theta comma space straight theta greater than 0 space and space straight y equals 1 over straight theta space then space show space that space fraction numerator straight d squared straight y over denominator dx squared end fraction plus dy over dx equals 0.

88 Views

532.

If space space straight y equals straight e to the power of straight x left parenthesis sin space straight x plus cos space straight x right parenthesis comma space prove space that space dy over dx minus 2 dy over dx plus 2 straight y equals 0

76 Views

space space space space space space space space space space space space space space space space space space straight y equals 5 space cos space straight x minus 3 space sin space straight x space space space space space space space space space space space space space dy over dx equals negative 5 space sin space straight x minus space 3 space cos space straight x therefore space space space space space space space fraction numerator straight d squared straight y over denominator dx squared end fraction equals negative 5 space cos space straight x plus space 3 space sin space straight x therefore space space space space space space space fraction numerator straight d squared straight y over denominator dx squared end fraction equals negative open parentheses 5 space cos space straight x minus space 3 space sin space straight x close parentheses therefore space space space space space space space fraction numerator straight d squared straight y over denominator dx squared end fraction equals negative straight y therefore space fraction numerator straight d squared straight y over denominator dx squared end fraction plus straight y equals 0

85 Views

534.

Find space fraction numerator straight d squared straight y over denominator dx squared end fraction comma space if space straight y equals straight e to the power of straight x space sin end exponent space to the power of straight x.

93 Views

535.

If space straight y space equals space cos to the power of negative 1 end exponent space straight x comma space find space fraction numerator straight d squared straight y over denominator dx squared end fraction space in space terms space of space straight y space alone.

86 Views

536. If y = sin (sin x), prove that

fraction numerator straight d squared straight y over denominator dx squared end fraction plus tan space straight x space dy over dx plus space straight y space cos squared space straight x equals 0

77 Views

537. If y = sin (log x), prove that

straight x 2 fraction numerator straight d squared straight y over denominator dx squared end fraction plus straight x dy over dx plus straight y equals 0.

99 Views

538. f y = a sin 2x + b cos 2x, show that

fraction numerator d squared y over denominator d x squared end fraction plus 4 space y equals 0.

74 Views

539. If y=A sin x+B cos x, prove that

fraction numerator straight d squared straight y over denominator dx squared end fraction plus straight y equals 0

87 Views

540. If y = A cos n x + B sin n x, prove that

fraction numerator straight d squared straight y over denominator dx squared end fraction plus straight n squared space straight y equals 0

110 Views